2475493672960 has 768 divisors, whose sum is σ = 8003136960000. Its totient is φ = 726002565120.

The previous prime is 2475493672919. The next prime is 2475493673021. The reversal of 2475493672960 is 692763945742.

It is a super-2 number, since 2×2475493672960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 2475493672892 and 2475493672901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 656801956 + ... + 656805724.

It is an arithmetic number, because the mean of its divisors is an integer number (10420751250).

Almost surely, 2^{2475493672960} is an apocalyptic number.

2475493672960 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 2475493672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001568480000).

2475493672960 is an abundant number, since it is smaller than the sum of its proper divisors (5527643287040).

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

2475493672960 is a wasteful number, since it uses less digits than its factorization.

2475493672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 64.

The spelling of 2475493672960 in words is "two trillion, four hundred seventy-five billion, four hundred ninety-three million, six hundred seventy-two thousand, nine hundred sixty".