2400538506 has 64 divisors (see below), whose sum is σ = 5035524096. Its totient is φ = 762048000.

The previous prime is 2400538493. The next prime is 2400538507. The reversal of 2400538506 is 6058350042.

2400538506 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 not an unprimeable number, because it can be changed into a prime (2400538507) 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, 3566586 + ... + 3567258.

It is an arithmetic number, because the mean of its divisors is an integer number (78680064).

Almost surely, 2^2400538506 is an apocalyptic number.

2400538506 is an abundant number, since it is smaller than the sum of its proper divisors (2634985590).

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

2400538506 is a wasteful number, since it uses less digits than its factorization.

2400538506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987.

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2400538506 is about 48995.2906512452. The cubic root of 2400538506 is about 1338.9660298036.

Adding to 2400538506 its reverse (6058350042), we get a palindrome (8458888548).

The spelling of 2400538506 in words is "two billion, four hundred million, five hundred thirty-eight thousand, five hundred six".