2505251291748 has 96 divisors (see below), whose sum is σ = 6239759597568. Its totient is φ = 779575104000.

The previous prime is 2505251291737. The next prime is 2505251291783. The reversal of 2505251291748 is 8471921525052.

It is a super-2 number, since 2×2505251291748² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2505251291748.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128260743 + ... + 128280273.

It is an arithmetic number, because the mean of its divisors is an integer number (64997495808).

Almost surely, 2^{2505251291748} 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 2505251291748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119879798784).

2505251291748 is an abundant number, since it is smaller than the sum of its proper divisors (3734508305820).

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

2505251291748 is a wasteful number, since it uses less digits than its factorization.

2505251291748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24633 (or 24631 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 2505251291748 in words is "two trillion, five hundred five billion, two hundred fifty-one million, two hundred ninety-one thousand, seven hundred forty-eight".