2472925593600 has 2160 divisors, whose sum is σ = 11516390778816. Its totient is φ = 513854668800.

The previous prime is 2472925593557. The next prime is 2472925593601. The reversal of 2472925593600 is 63955292742.

2472925593600 is a `hidden beast` number, since 2 + 4 + 7 + 2 + 9 + 25 + 5 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×2472925593600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472925593601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 224811417595 + ... + 224811417605.

Almost surely, 2^{2472925593600} is an apocalyptic number.

2472925593600 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 2472925593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758195389408).

2472925593600 is an abundant number, since it is smaller than the sum of its proper divisors (9043465185216).

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

2472925593600 is an frugal number, since it uses more digits than its factorization.

2472925593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 2472925593600 in words is "two trillion, four hundred seventy-two billion, nine hundred twenty-five million, five hundred ninety-three thousand, six hundred".