2617409040 has 160 divisors (see below), whose sum is σ = 8288993280. Its totient is φ = 683085312.

The previous prime is 2617409027. The next prime is 2617409051. The reversal of 2617409040 is 409047162.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2617408992 and 2617409010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407377 + ... + 2408463.

It is an arithmetic number, because the mean of its divisors is an integer number (51806208).

Almost surely, 2^2617409040 is an apocalyptic number.

2617409040 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 2617409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4144496640).

2617409040 is an abundant number, since it is smaller than the sum of its proper divisors (5671584240).

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

2617409040 is a wasteful number, since it uses less digits than its factorization.

2617409040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2617409040 is about 51160.6200118802. The cubic root of 2617409040 is about 1378.1310975198.

The spelling of 2617409040 in words is "two billion, six hundred seventeen million, four hundred nine thousand, forty".