2472695887200 has 1728 divisors, whose sum is σ = 10800903697920. Its totient is φ = 479549030400.

The previous prime is 2472695887171. The next prime is 2472695887237. The reversal of 2472695887200 is 27885962742.

2472695887200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2472695887200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2819493162 + ... + 2819494038.

Almost surely, 2^{2472695887200} is an apocalyptic number.

2472695887200 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 2472695887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400451848960).

2472695887200 is an abundant number, since it is smaller than the sum of its proper divisors (8328207810720).

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

2472695887200 is a wasteful number, since it uses less digits than its factorization.

2472695887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 2472695887200 in words is "two trillion, four hundred seventy-two billion, six hundred ninety-five million, eight hundred eighty-seven thousand, two hundred".