2472966144000 has 720 divisors, whose sum is σ = 9726901250976. Its totient is φ = 599457792000.

The previous prime is 2472966143993. The next prime is 2472966144191. The reversal of 2472966144000 is 4416692742.

2472966144000 is a `hidden beast` number, since 2 + 4 + 7 + 29 + 6 + 614 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2472966144000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 202745902 + ... + 202758098.

Almost surely, 2^{2472966144000} is an apocalyptic number.

2472966144000 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 2472966144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4863450625488).

2472966144000 is an abundant number, since it is smaller than the sum of its proper divisors (7253935106976).

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

2472966144000 is a wasteful number, since it uses less digits than its factorization.

2472966144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12257 (or 12218 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 2472966144000 in words is "two trillion, four hundred seventy-two billion, nine hundred sixty-six million, one hundred forty-four thousand".