2400681588 has 48 divisors (see below), whose sum is σ = 5937269184. Its totient is φ = 752371200.

The previous prime is 2400681583. The next prime is 2400681589. The reversal of 2400681588 is 8851860042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400681581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208806 + ... + 220002.

It is an arithmetic number, because the mean of its divisors is an integer number (123693108).

Almost surely, 2^2400681588 is an apocalyptic number.

It is an amenable number.

2400681588 is an abundant number, since it is smaller than the sum of its proper divisors (3536587596).

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

2400681588 is a wasteful number, since it uses less digits than its factorization.

2400681588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12272 (or 12270 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 2400681588 is about 48996.7507902310. The cubic root of 2400681588 is about 1338.9926319085.

The spelling of 2400681588 in words is "two billion, four hundred million, six hundred eighty-one thousand, five hundred eighty-eight".