2504216460 has 48 divisors (see below), whose sum is σ = 7013980512. Its totient is φ = 667584000.

The previous prime is 2504216459. The next prime is 2504216461. The reversal of 2504216460 is 646124052.

It is an interprime number because it is at equal distance from previous prime (2504216459) and next prime (2504216461).

It is a super-2 number, since 2×2504216460² = 12542200157069863200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2504216461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362640 + ... + 369480.

It is an arithmetic number, because the mean of its divisors is an integer number (146124594).

Almost surely, 2^2504216460 is an apocalyptic number.

2504216460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2504216460 is an abundant number, since it is smaller than the sum of its proper divisors (4509764052).

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

2504216460 is a wasteful number, since it uses less digits than its factorization.

2504216460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12954 (or 12952 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2504216460 is about 50042.1468364418. The cubic root of 2504216460 is about 1357.9713952892.

The spelling of 2504216460 in words is "two billion, five hundred four million, two hundred sixteen thousand, four hundred sixty".