2401264776 has 32 divisors (see below), whose sum is σ = 6165411840. Its totient is φ = 778788288.

The previous prime is 2401264769. The next prime is 2401264871. The reversal of 2401264776 is 6774621042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351176 + ... + 1352951.

It is an arithmetic number, because the mean of its divisors is an integer number (192669120).

Almost surely, 2^2401264776 is an apocalyptic number.

It is an amenable number.

2401264776 is an abundant number, since it is smaller than the sum of its proper divisors (3764147064).

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

2401264776 is a wasteful number, since it uses less digits than its factorization.

2401264776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704173 (or 2704169 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2401264776 is about 49002.7017214357. The cubic root of 2401264776 is about 1339.1010485091.

It can be divided in two parts, 24012 and 64776, that added together give a palindrome (88788).

The spelling of 2401264776 in words is "two billion, four hundred one million, two hundred sixty-four thousand, seven hundred seventy-six".