2472394752000 has 1296 divisors, whose sum is σ = 9658581240672. Its totient is φ = 630639820800.

The previous prime is 2472394751951. The next prime is 2472394752013. The reversal of 2472394752000 is 2574932742.

2472394752000 is a `hidden beast` number, since 2 + 472 + 3 + 94 + 75 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×2472394752000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107495423989 + ... + 107495424011.

It is an arithmetic number, because the mean of its divisors is an integer number (7452608982).

Almost surely, 2^{2472394752000} is an apocalyptic number.

2472394752000 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 2472394752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829290620336).

2472394752000 is an abundant number, since it is smaller than the sum of its proper divisors (7186186488672).

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

2472394752000 is an frugal number, since it uses more digits than its factorization.

2472394752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2472394752000 in words is "two trillion, four hundred seventy-two billion, three hundred ninety-four million, seven hundred fifty-two thousand".