2401824047 has 16 divisors (see below), whose sum is σ = 2781926400. Its totient is φ = 2031130080.

The previous prime is 2401824041. The next prime is 2401824049. The reversal of 2401824047 is 7404281042.

It is not a de Polignac number, because 2401824047 - 2²⁰ = 2400775471 is a prime.

It is a super-3 number, since 3×2401824047³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401824041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175772 + ... + 188942.

It is an arithmetic number, because the mean of its divisors is an integer number (173870400).

Almost surely, 2^2401824047 is an apocalyptic number.

2401824047 is a deficient number, since it is larger than the sum of its proper divisors (380102353).

2401824047 is a wasteful number, since it uses less digits than its factorization.

2401824047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13526.

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 2401824047 is about 49008.4079214985. The cubic root of 2401824047 is about 1339.2050023719.

The spelling of 2401824047 in words is "two billion, four hundred one million, eight hundred twenty-four thousand, forty-seven".