2438009280 has 392 divisors, whose sum is σ = 9954414432. Its totient is φ = 556886016.

The previous prime is 2438009267. The next prime is 2438009293. The reversal of 2438009280 is 829008342.

It is an interprime number because it is at equal distance from previous prime (2438009267) and next prime (2438009293).

It is a super-2 number, since 2×2438009280² = 11887778498732236800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1632214 + ... + 1633706.

Almost surely, 2^2438009280 is an apocalyptic number.

2438009280 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 2438009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977207216).

2438009280 is an abundant number, since it is smaller than the sum of its proper divisors (7516405152).

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

2438009280 is an equidigital number, since it uses as much as digits as its factorization.

2438009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2438009280 is about 49376.2015550002. The cubic root of 2438009280 is about 1345.8968751280.

The spelling of 2438009280 in words is "two billion, four hundred thirty-eight million, nine thousand, two hundred eighty".