2400822160 has 40 divisors (see below), whose sum is σ = 6089360256. Its totient is φ = 873025920.

The previous prime is 2400822107. The next prime is 2400822163. The reversal of 2400822160 is 612280042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2400822163) 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, 1363224 + ... + 1364983.

Almost surely, 2^2400822160 is an apocalyptic number.

2400822160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400822160 is an abundant number, since it is smaller than the sum of its proper divisors (3688538096).

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

2400822160 is a wasteful number, since it uses less digits than its factorization.

2400822160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728231 (or 2728225 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2400822160 is about 48998.1852725180. The cubic root of 2400822160 is about 1339.0187663196.

It can be divided in two parts, 240082 and 2160, that added together give a palindrome (242242).

The spelling of 2400822160 in words is "two billion, four hundred million, eight hundred twenty-two thousand, one hundred sixty".