2372692746240 has 728 divisors, whose sum is σ = 8619526517580. Its totient is φ = 626913312768.

The previous prime is 2372692746233. The next prime is 2372692746247. The reversal of 2372692746240 is 426472962732.

2372692746240 is a `hidden beast` number, since 2 + 3 + 7 + 2 + 6 + 9 + 2 + 7 + 4 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2372692746233) and next prime (2372692746247).

It can be written as a sum of positive squares in 2 ways, for example, as 2370515963904 + 2176782336 = 1539648^2 + 46656^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2372692746247) by changing a digit.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 21767823306 + ... + 21767823414.

Almost surely, 2^{2372692746240} is an apocalyptic number.

2372692746240 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 2372692746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309763258790).

2372692746240 is an abundant number, since it is smaller than the sum of its proper divisors (6246833771340).

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

2372692746240 is an frugal number, since it uses more digits than its factorization.

2372692746240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 2372692746240 in words is "two trillion, three hundred seventy-two billion, six hundred ninety-two million, seven hundred forty-six thousand, two hundred forty".