2471270400 has 432 divisors, whose sum is σ = 9188786880. Its totient is φ = 634060800.

The previous prime is 2471270383. The next prime is 2471270413. The reversal of 2471270400 is 40721742.

It is a happy number.

2471270400 is a `hidden beast` number, since 247 + 12 + 7 + 0 + 400 = 666.

It is a super-2 number, since 2×2471270400² = 12214354779832320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14284714 + ... + 14284886.

It is an arithmetic number, because the mean of its divisors is an integer number (21270340).

Almost surely, 2^2471270400 is an apocalyptic number.

2471270400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2471270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594393440).

2471270400 is an abundant number, since it is smaller than the sum of its proper divisors (6717516480).

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

2471270400 is a wasteful number, since it uses less digits than its factorization.

2471270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 2471270400 is about 49711.8738331196. The cubic root of 2471270400 is about 1351.9898228754.

The spelling of 2471270400 in words is "two billion, four hundred seventy-one million, two hundred seventy thousand, four hundred".