2317254073920 has 224 divisors, whose sum is σ = 8200554998400. Its totient is φ = 615984371712.

The previous prime is 2317254073913. The next prime is 2317254073999. The reversal of 2317254073920 is 293704527132.

2317254073920 is a `hidden beast` number, since 2 + 3 + 1 + 7 + 254 + 0 + 7 + 392 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 2315851 + ... + 3161909.

Almost surely, 2^{2317254073920} is an apocalyptic number.

2317254073920 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 2317254073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4100277499200).

2317254073920 is an abundant number, since it is smaller than the sum of its proper divisors (5883300924480).

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

2317254073920 is a wasteful number, since it uses less digits than its factorization.

2317254073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846402 (or 846386 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

It can be divided in two parts, 231725 and 4073920, that added together give a triangular number (4305645 = T₂₉₃₄).

The spelling of 2317254073920 in words is "two trillion, three hundred seventeen billion, two hundred fifty-four million, seventy-three thousand, nine hundred twenty".