2474040400 has 60 divisors (see below), whose sum is σ = 6401117212. Its totient is φ = 913489920.

The previous prime is 2474040353. The next prime is 2474040461. The reversal of 2474040400 is 40404742.

2474040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13483584 + 2460556816 = 3672^2 + 49604^2 .

It is a super-2 number, since 2×2474040400² = 12241751801664320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232689 + ... + 243088.

Almost surely, 2^2474040400 is an apocalyptic number.

2474040400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2474040400 is an abundant number, since it is smaller than the sum of its proper divisors (3927076812).

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

2474040400 is a wasteful number, since it uses less digits than its factorization.

2474040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475808 (or 475797 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 25.

The square root of 2474040400 is about 49739.7265774552. The cubic root of 2474040400 is about 1352.4947741537.

The spelling of 2474040400 in words is "two billion, four hundred seventy-four million, forty thousand, four hundred".