2451431640 has 256 divisors, whose sum is σ = 8865054720. Its totient is φ = 530449920.

The previous prime is 2451431639. The next prime is 2451431657. The reversal of 2451431640 is 461341542.

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

It is a junction number, because it is equal to n+sod(n) for n = 2451431598 and 2451431607.

It is a congruent number.

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, 1222879 + ... + 1224881.

It is an arithmetic number, because the mean of its divisors is an integer number (34629120).

Almost surely, 2^2451431640 is an apocalyptic number.

2451431640 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 2451431640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432527360).

2451431640 is an abundant number, since it is smaller than the sum of its proper divisors (6413623080).

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

2451431640 is a wasteful number, since it uses less digits than its factorization.

2451431640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2098 counting only the distinct ones).

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

The square root of 2451431640 is about 49511.9343189094. The cubic root of 2451431640 is about 1348.3622829113.

The spelling of 2451431640 in words is "two billion, four hundred fifty-one million, four hundred thirty-one thousand, six hundred forty".