2472400723968 has 1568 divisors, whose sum is σ = 9282791289600. Its totient is φ = 655483207680.

The previous prime is 2472400723889. The next prime is 2472400723979. The reversal of 2472400723968 is 8693270042742.

2472400723968 is a `hidden beast` number, since 2 + 4 + 7 + 240 + 0 + 7 + 2 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a super-2 number, since 2×2472400723968² (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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34822545373 + ... + 34822545443.

Almost surely, 2^{2472400723968} is an apocalyptic number.

2472400723968 is a gapful number since it is divisible by the number (28) 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 2472400723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641395644800).

2472400723968 is an abundant number, since it is smaller than the sum of its proper divisors (6810390565632).

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

2472400723968 is an frugal number, since it uses more digits than its factorization.

2472400723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2472400723968 in words is "two trillion, four hundred seventy-two billion, four hundred million, seven hundred twenty-three thousand, nine hundred sixty-eight".