2451959880 has 256 divisors, whose sum is σ = 8089804800. Its totient is φ = 592220160.

The previous prime is 2451959869. The next prime is 2451959921. The reversal of 2451959880 is 889591542.

It is a super-2 number, since 2×2451959880² = 12024214506259228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7986687 + ... + 7986993.

It is an arithmetic number, because the mean of its divisors is an integer number (31600800).

Almost surely, 2^2451959880 is an apocalyptic number.

2451959880 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 2451959880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044902400).

2451959880 is an abundant number, since it is smaller than the sum of its proper divisors (5637844920).

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

2451959880 is a wasteful number, since it uses less digits than its factorization.

2451959880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 51.

The square root of 2451959880 is about 49517.2685030182. The cubic root of 2451959880 is about 1348.4591253342.

The spelling of 2451959880 in words is "two billion, four hundred fifty-one million, nine hundred fifty-nine thousand, eight hundred eighty".