2501261503488 has 528 divisors, whose sum is σ = 8452743586560. Its totient is φ = 731798323200.

The previous prime is 2501261503463. The next prime is 2501261503513. The reversal of 2501261503488 is 8843051621052.

2501261503488 is a `hidden beast` number, since 2 + 5 + 0 + 1 + 2 + 61 + 503 + 4 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2501261503463) and next prime (2501261503513).

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×2501261503488² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79361653 + ... + 79393163.

Almost surely, 2^{2501261503488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501261503488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4226371793280).

2501261503488 is an abundant number, since it is smaller than the sum of its proper divisors (5951482083072).

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

2501261503488 is a wasteful number, since it uses less digits than its factorization.

2501261503488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31586 (or 31556 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2501261503488 in words is "two trillion, five hundred one billion, two hundred sixty-one million, five hundred three thousand, four hundred eighty-eight".