2424800961 has 32 divisors (see below), whose sum is σ = 3948848640. Its totient is φ = 1458334800.

The previous prime is 2424800909. The next prime is 2424800969. The reversal of 2424800961 is 1690084242.

It is not a de Polignac number, because 2424800961 - 2²³ = 2416412353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2424800969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7746 + ... + 70068.

It is an arithmetic number, because the mean of its divisors is an integer number (123401520).

Almost surely, 2^2424800961 is an apocalyptic number.

It is an amenable number.

2424800961 is a deficient number, since it is larger than the sum of its proper divisors (1524047679).

2424800961 is a wasteful number, since it uses less digits than its factorization.

2424800961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62474 (or 62468 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2424800961 is about 49242.2680326567. The cubic root of 2424800961 is about 1343.4619328531.

The spelling of 2424800961 in words is "two billion, four hundred twenty-four million, eight hundred thousand, nine hundred sixty-one".