2503764990272 has 112 divisors (see below), whose sum is σ = 6115677644160. Its totient is φ = 990384924672.

The previous prime is 2503764990263. The next prime is 2503764990281. The reversal of 2503764990272 is 2720994673052.

It is an interprime number because it is at equal distance from previous prime (2503764990263) and next prime (2503764990281).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 63922118 + ... + 63961274.

It is an arithmetic number, because the mean of its divisors is an integer number (54604264680).

Almost surely, 2^{2503764990272} 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 2503764990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057838822080).

2503764990272 is an abundant number, since it is smaller than the sum of its proper divisors (3611912653888).

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

2503764990272 is a wasteful number, since it uses less digits than its factorization.

2503764990272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50168 (or 50158 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 56.

The spelling of 2503764990272 in words is "two trillion, five hundred three billion, seven hundred sixty-four million, nine hundred ninety thousand, two hundred seventy-two".