2538896640 has 288 divisors, whose sum is σ = 9589466880. Its totient is φ = 560136192.

The previous prime is 2538896629. The next prime is 2538896663. The reversal of 2538896640 is 466988352.

It is a super-2 number, since 2×2538896640² = 12891992297206579200, which contains 22 as substring.

It is a congruent number.

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, 777892 + ... + 781148.

It is an arithmetic number, because the mean of its divisors is an integer number (33296760).

Almost surely, 2^2538896640 is an apocalyptic number.

2538896640 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 2538896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794733440).

2538896640 is an abundant number, since it is smaller than the sum of its proper divisors (7050570240).

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

2538896640 is a wasteful number, since it uses less digits than its factorization.

2538896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 2538896640 is about 50387.4651079016. The cubic root of 2538896640 is about 1364.2113975921.

The spelling of 2538896640 in words is "two billion, five hundred thirty-eight million, eight hundred ninety-six thousand, six hundred forty".