2503263264 has 96 divisors (see below), whose sum is σ = 6646723776. Its totient is φ = 824878080.

The previous prime is 2503263251. The next prime is 2503263341. The reversal of 2503263264 is 4623623052.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4626834 + ... + 4627374.

It is an arithmetic number, because the mean of its divisors is an integer number (69236706).

Almost surely, 2^2503263264 is an apocalyptic number.

2503263264 is a gapful number since it is divisible by the number (24) 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 2503263264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323361888).

2503263264 is an abundant number, since it is smaller than the sum of its proper divisors (4143460512).

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

2503263264 is a wasteful number, since it uses less digits than its factorization.

2503263264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 2503263264 is about 50032.6219980524. The cubic root of 2503263264 is about 1357.7990756314.

The spelling of 2503263264 in words is "two billion, five hundred three million, two hundred sixty-three thousand, two hundred sixty-four".