2451900960 has 72 divisors (see below), whose sum is σ = 8367116940. Its totient is φ = 653839872.

The previous prime is 2451900911. The next prime is 2451900967. The reversal of 2451900960 is 690091542.

It can be written as a sum of positive squares in 2 ways, for example, as 2279871504 + 172029456 = 47748^2 + 13116^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2451900967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 849915 + ... + 852794.

Almost surely, 2^2451900960 is an apocalyptic number.

2451900960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2451900960 is an abundant number, since it is smaller than the sum of its proper divisors (5915215980).

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

2451900960 is a wasteful number, since it uses less digits than its factorization.

2451900960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702730 (or 1702719 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2451900960 is about 49516.6735554803. The cubic root of 2451900960 is about 1348.4483241993.

The spelling of 2451900960 in words is "two billion, four hundred fifty-one million, nine hundred thousand, nine hundred sixty".