2400858264 has 128 divisors (see below), whose sum is σ = 7138368000. Its totient is φ = 658366464.

The previous prime is 2400858263. The next prime is 2400858301. The reversal of 2400858264 is 4628580042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400858263) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 870712 + ... + 873464.

It is an arithmetic number, because the mean of its divisors is an integer number (55768500).

Almost surely, 2^2400858264 is an apocalyptic number.

2400858264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400858264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569184000).

2400858264 is an abundant number, since it is smaller than the sum of its proper divisors (4737509736).

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

2400858264 is a wasteful number, since it uses less digits than its factorization.

2400858264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 2400858264 is about 48998.5536929408. The cubic root of 2400858264 is about 1339.0254784218.

The spelling of 2400858264 in words is "two billion, four hundred million, eight hundred fifty-eight thousand, two hundred sixty-four".