2503884144 has 160 divisors (see below), whose sum is σ = 7199539200. Its totient is φ = 746254080.

The previous prime is 2503884143. The next prime is 2503884169. The reversal of 2503884144 is 4414883052.

It is a super-2 number, since 2×2503884144² = 12538871613149225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2503884143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1656349 + ... + 1657859.

It is an arithmetic number, because the mean of its divisors is an integer number (44997120).

Almost surely, 2^2503884144 is an apocalyptic number.

2503884144 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 2503884144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599769600).

2503884144 is an abundant number, since it is smaller than the sum of its proper divisors (4695655056).

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

2503884144 is a wasteful number, since it uses less digits than its factorization.

2503884144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2503884144 is about 50038.8263651337. The cubic root of 2503884144 is about 1357.9113238600.

The spelling of 2503884144 in words is "two billion, five hundred three million, eight hundred eighty-four thousand, one hundred forty-four".