2628138240 has 864 divisors, whose sum is σ = 11785213440. Its totient is φ = 525533184.

The previous prime is 2628138229. The next prime is 2628138251. The reversal of 2628138240 is 428318262.

2628138240 is a `hidden beast` number, since 2 + 628 + 1 + 3 + 8 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2628138229) and next prime (2628138251).

It is a super-2 number, since 2×2628138240² = 13814221217100595200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2628138195 and 2628138204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24111306 + ... + 24111414.

Almost surely, 2^2628138240 is an apocalyptic number.

2628138240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2628138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892606720).

2628138240 is an abundant number, since it is smaller than the sum of its proper divisors (9157075200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2628138240 is a wasteful number, since it uses less digits than its factorization.

2628138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2628138240 is about 51265.3707681901. The cubic root of 2628138240 is about 1380.0115941055.

The spelling of 2628138240 in words is "two billion, six hundred twenty-eight million, one hundred thirty-eight thousand, two hundred forty".