2502557640 has 256 divisors, whose sum is σ = 9580032000. Its totient is φ = 574698240.

The previous prime is 2502557627. The next prime is 2502557647. The reversal of 2502557640 is 467552052.

2502557640 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 5 + 5 + 7 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2502557595 and 2502557604.

It is not an unprimeable number, because it can be changed into a prime (2502557647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220177 + ... + 231263.

It is an arithmetic number, because the mean of its divisors is an integer number (37422000).

Almost surely, 2^2502557640 is an apocalyptic number.

2502557640 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 2502557640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790016000).

2502557640 is an abundant number, since it is smaller than the sum of its proper divisors (7077474360).

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

2502557640 is a wasteful number, since it uses less digits than its factorization.

2502557640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11137 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 2502557640 is about 50025.5698618217. The cubic root of 2502557640 is about 1357.6714840904.

The spelling of 2502557640 in words is "two billion, five hundred two million, five hundred fifty-seven thousand, six hundred forty".