2503295368272 has 120 divisors (see below), whose sum is σ = 7185010833000. Its totient is φ = 813128232960.

The previous prime is 2503295368261. The next prime is 2503295368303. The reversal of 2503295368272 is 2728635923052.

2503295368272 is a `hidden beast` number, since 2 + 5 + 0 + 3 + 2 + 9 + 5 + 368 + 272 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65687639616 + 2437607728656 = 256296^2 + 1561284^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4812354 + ... + 5307102.

It is an arithmetic number, because the mean of its divisors is an integer number (59875090275).

Almost surely, 2^{2503295368272} 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 2503295368272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592505416500).

2503295368272 is an abundant number, since it is smaller than the sum of its proper divisors (4681715464728).

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

2503295368272 is a wasteful number, since it uses less digits than its factorization.

2503295368272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495661 (or 495652 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 2503295368272 in words is "two trillion, five hundred three billion, two hundred ninety-five million, three hundred sixty-eight thousand, two hundred seventy-two".