2502901187136 has 945 divisors, whose sum is σ = 8958793545801. Its totient is φ = 688915777536.

The previous prime is 2502901187131. The next prime is 2502901187197. The reversal of 2502901187136 is 6317811092052.

The square root of 2502901187136 is 1582056.

It is a perfect power (a square), and thus also a powerful number.

2502901187136 is a `hidden beast` number, since 2 + 50 + 290 + 1 + 187 + 136 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1420768641600 + 1082132545536 = 1191960^2 + 1040256^2 .

It is a super-3 number, since 3×2502901187136³ (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2502901187091 and 2502901187100.

It is not an unprimeable number, because it can be changed into a prime (2502901187131) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 34286317596 + ... + 34286317668.

Almost surely, 2^{2502901187136} is an apocalyptic number.

2502901187136 is the 1582056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502901187136

2502901187136 is an abundant number, since it is smaller than the sum of its proper divisors (6455892358665).

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

2502901187136 is an frugal number, since it uses more digits than its factorization.

2502901187136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 2502901187136 in words is "two trillion, five hundred two billion, nine hundred one million, one hundred eighty-seven thousand, one hundred thirty-six".