2400640536 has 128 divisors (see below), whose sum is σ = 7039872000. Its totient is φ = 681891840.

The previous prime is 2400640523. The next prime is 2400640537. The reversal of 2400640536 is 6350460042.

2400640536 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400640537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588021 + ... + 1589531.

It is an arithmetic number, because the mean of its divisors is an integer number (54999000).

Almost surely, 2^2400640536 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 2400640536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519936000).

2400640536 is an abundant number, since it is smaller than the sum of its proper divisors (4639231464).

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

2400640536 is a wasteful number, since it uses less digits than its factorization.

2400640536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2400640536 is about 48996.3318627017. The cubic root of 2400640536 is about 1338.9849995429.

The spelling of 2400640536 in words is "two billion, four hundred million, six hundred forty thousand, five hundred thirty-six".