2503761920 has 112 divisors (see below), whose sum is σ = 6556083408. Its totient is φ = 910295040.

The previous prime is 2503761913. The next prime is 2503761971. The reversal of 2503761920 is 291673052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 447782 + ... + 453338.

It is an arithmetic number, because the mean of its divisors is an integer number (58536459).

Almost surely, 2^2503761920 is an apocalyptic number.

2503761920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2503761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278041704).

2503761920 is an abundant number, since it is smaller than the sum of its proper divisors (4052321488).

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

2503761920 is an equidigital number, since it uses as much as digits as its factorization.

2503761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5575 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 2503761920 is about 50037.6050585957. The cubic root of 2503761920 is about 1357.8892285813.

The spelling of 2503761920 in words is "two billion, five hundred three million, seven hundred sixty-one thousand, nine hundred twenty".