2451640640 has 56 divisors (see below), whose sum is σ = 5842357632. Its totient is φ = 979919360.

The previous prime is 2451640613. The next prime is 2451640643. The reversal of 2451640640 is 460461542.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2451640597 and 2451640606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451640643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666005 + ... + 669675.

Almost surely, 2^2451640640 is an apocalyptic number.

2451640640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451640640 is an abundant number, since it is smaller than the sum of its proper divisors (3390716992).

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

2451640640 is a wasteful number, since it uses less digits than its factorization.

2451640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 2451640640 is about 49514.0448761763. The cubic root of 2451640640 is about 1348.4006006171.

It can be divided in two parts, 24516 and 40640, that added together give a palindrome (65156).

The spelling of 2451640640 in words is "two billion, four hundred fifty-one million, six hundred forty thousand, six hundred forty".