2500904640 has 448 divisors, whose sum is σ = 9217152000. Its totient is φ = 569327616.

The previous prime is 2500904617. The next prime is 2500904641. The reversal of 2500904640 is 464090052.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2500904598 and 2500904607.

It is not an unprimeable number, because it can be changed into a prime (2500904641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12567261 + ... + 12567459.

It is an arithmetic number, because the mean of its divisors is an integer number (20574000).

Almost surely, 2^2500904640 is an apocalyptic number.

2500904640 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 2500904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608576000).

2500904640 is an abundant number, since it is smaller than the sum of its proper divisors (6716247360).

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

2500904640 is a wasteful number, since it uses less digits than its factorization.

2500904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2500904640 is about 50009.0455817745. The cubic root of 2500904640 is about 1357.3724932724.

Adding to 2500904640 its reverse (464090052), we get a palindrome (2964994692).

The spelling of 2500904640 in words is "two billion, five hundred million, nine hundred four thousand, six hundred forty".