2503462920 has 288 divisors, whose sum is σ = 9007951680. Its totient is φ = 554964480.

The previous prime is 2503462919. The next prime is 2503462921. The reversal of 2503462920 is 292643052.

It is an interprime number because it is at equal distance from previous prime (2503462919) and next prime (2503462921).

It is not an unprimeable number, because it can be changed into a prime (2503462921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8049565 + ... + 8049875.

It is an arithmetic number, because the mean of its divisors is an integer number (31277610).

Almost surely, 2^2503462920 is an apocalyptic number.

2503462920 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 2503462920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503975840).

2503462920 is an abundant number, since it is smaller than the sum of its proper divisors (6504488760).

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

2503462920 is a wasteful number, since it uses less digits than its factorization.

2503462920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2503462920 is about 50034.6172164832. The cubic root of 2503462920 is about 1357.8351732497.

The spelling of 2503462920 in words is "two billion, five hundred three million, four hundred sixty-two thousand, nine hundred twenty".