2592739874340 has 1440 divisors, whose sum is σ = 10516810816512. Its totient is φ = 512096256000.

The previous prime is 2592739874297. The next prime is 2592739874377. The reversal of 2592739874340 is 434789372952.

2592739874340 is a `hidden beast` number, since 2 + 5 + 92 + 7 + 39 + 87 + 434 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10758256620 + ... + 10758256860.

Almost surely, 2^{2592739874340} is an apocalyptic number.

2592739874340 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 2592739874340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258405408256).

2592739874340 is an abundant number, since it is smaller than the sum of its proper divisors (7924070942172).

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

2592739874340 is a wasteful number, since it uses less digits than its factorization.

2592739874340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 2592739874340 in words is "two trillion, five hundred ninety-two billion, seven hundred thirty-nine million, eight hundred seventy-four thousand, three hundred forty".