2451131280 has 560 divisors, whose sum is σ = 9528983856. Its totient is φ = 582266880.

The previous prime is 2451131269. The next prime is 2451131299. The reversal of 2451131280 is 821311542.

2451131280 is a `hidden beast` number, since 2 + 451 + 131 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 471237264 + 1979894016 = 21708^2 + 44496^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40182450 + ... + 40182510.

Almost surely, 2^2451131280 is an apocalyptic number.

2451131280 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 2451131280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764491928).

2451131280 is an abundant number, since it is smaller than the sum of its proper divisors (7077852576).

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

2451131280 is a wasteful number, since it uses less digits than its factorization.

2451131280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2451131280 is about 49508.9010178978. The cubic root of 2451131280 is about 1348.3072116038.

The spelling of 2451131280 in words is "two billion, four hundred fifty-one million, one hundred thirty-one thousand, two hundred eighty".