2496047400 has 1152 divisors, whose sum is σ = 11699251200. Its totient is φ = 479001600.

The previous prime is 2496047399. The next prime is 2496047431. The reversal of 2496047400 is 47406942.

2496047400 is a `hidden beast` number, since 2 + 4 + 9 + 604 + 7 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86070586 + ... + 86070614.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2^2496047400 is an apocalyptic number.

2496047400 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 2496047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849625600).

2496047400 is an abundant number, since it is smaller than the sum of its proper divisors (9203203800).

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

2496047400 is a wasteful number, since it uses less digits than its factorization.

2496047400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2496047400 is about 49960.4583645907. The cubic root of 2496047400 is about 1356.4931638726.

The spelling of 2496047400 in words is "two billion, four hundred ninety-six million, forty-seven thousand, four hundred".