2472014400 has 336 divisors, whose sum is σ = 8617305600. Its totient is φ = 619315200.

The previous prime is 2472014371. The next prime is 2472014411. The reversal of 2472014400 is 44102742.

It is a super-2 number, since 2×2472014400² = 12221710387614720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5505376 + ... + 5505824.

Almost surely, 2^2472014400 is an apocalyptic number.

2472014400 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 2472014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308652800).

2472014400 is an abundant number, since it is smaller than the sum of its proper divisors (6145291200).

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

2472014400 is a wasteful number, since it uses less digits than its factorization.

2472014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 2472014400 is about 49719.3563916509. The cubic root of 2472014400 is about 1352.1254858259.

The spelling of 2472014400 in words is "two billion, four hundred seventy-two million, fourteen thousand, four hundred".