2400635312 has 40 divisors (see below), whose sum is σ = 4841289840. Its totient is φ = 1151781120.

The previous prime is 2400635299. The next prime is 2400635353. The reversal of 2400635312 is 2135360042.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59762 + ... + 91502.

It is an arithmetic number, because the mean of its divisors is an integer number (121032246).

Almost surely, 2^2400635312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400635312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420644920).

2400635312 is an abundant number, since it is smaller than the sum of its proper divisors (2440654528).

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

2400635312 is a wasteful number, since it uses less digits than its factorization.

2400635312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31941 (or 31935 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2400635312 is about 48996.2785525595. The cubic root of 2400635312 is about 1338.9840282934.

Adding to 2400635312 its reverse (2135360042), we get a palindrome (4535995354).

The spelling of 2400635312 in words is "two billion, four hundred million, six hundred thirty-five thousand, three hundred twelve".