2401283680 has 24 divisors (see below), whose sum is σ = 5673033072. Its totient is φ = 960513408.

The previous prime is 2401283671. The next prime is 2401283699. The reversal of 2401283680 is 863821042.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7503852 + ... + 7504171.

It is an arithmetic number, because the mean of its divisors is an integer number (236376378).

Almost surely, 2^2401283680 is an apocalyptic number.

2401283680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2401283680 is an abundant number, since it is smaller than the sum of its proper divisors (3271749392).

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

2401283680 is a wasteful number, since it uses less digits than its factorization.

2401283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15008038 (or 15008030 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2401283680 is about 49002.8946083800. The cubic root of 2401283680 is about 1339.1045625323.

The spelling of 2401283680 in words is "two billion, four hundred one million, two hundred eighty-three thousand, six hundred eighty".