2503977100816 has 135 divisors (see below), whose sum is σ = 5243329288911. Its totient is φ = 1158237916992.

The previous prime is 2503977100799. The next prime is 2503977100817. The reversal of 2503977100816 is 6180017793052.

It is a happy number.

The square root of 2503977100816 is 1582396.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2503977100816.

It is not an unprimeable number, because it can be changed into a prime (2503977100817) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5652318291 + ... + 5652318733.

Almost surely, 2^{2503977100816} is an apocalyptic number.

2503977100816 is the 1582396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2503977100816

2503977100816 is an abundant number, since it is smaller than the sum of its proper divisors (2739352188095).

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

2503977100816 is an frugal number, since it uses more digits than its factorization.

2503977100816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

Multiplying 2503977100816 by its sum of digits (49), we get a square (122694877939984 = 11076772²).

The spelling of 2503977100816 in words is "two trillion, five hundred three billion, nine hundred seventy-seven million, one hundred thousand, eight hundred sixteen".