2472724800 has 1344 divisors, whose sum is σ = 12064227840. Its totient is φ = 477757440.

The previous prime is 2472724781. The next prime is 2472724819. The reversal of 2472724800 is 84272742.

It is an interprime number because it is at equal distance from previous prime (2472724781) and next prime (2472724819).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2472724800² = 12228735873070080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66830382 + ... + 66830418.

It is an arithmetic number, because the mean of its divisors is an integer number (8976360).

Almost surely, 2^2472724800 is an apocalyptic number.

2472724800 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 2472724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032113920).

2472724800 is an abundant number, since it is smaller than the sum of its proper divisors (9591503040).

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

2472724800 is a wasteful number, since it uses less digits than its factorization.

2472724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2472724800 is about 49726.4999773762. The cubic root of 2472724800 is about 1352.2549966608.

The spelling of 2472724800 in words is "two billion, four hundred seventy-two million, seven hundred twenty-four thousand, eight hundred".