2534120640 has 504 divisors, whose sum is σ = 9718499232. Its totient is φ = 627056640.

The previous prime is 2534120627. The next prime is 2534120681. The reversal of 2534120640 is 460214352.

2534120640 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 12 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35691805 + ... + 35691875.

Almost surely, 2^2534120640 is an apocalyptic number.

2534120640 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 2534120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4859249616).

2534120640 is an abundant number, since it is smaller than the sum of its proper divisors (7184378592).

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

2534120640 is an frugal number, since it uses more digits than its factorization.

2534120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2534120640 is about 50340.0500595699. The cubic root of 2534120640 is about 1363.3554400216.

Adding to 2534120640 its reverse (460214352), we get a palindrome (2994334992).

The spelling of 2534120640 in words is "two billion, five hundred thirty-four million, one hundred twenty thousand, six hundred forty".