2739142656000 has 1056 divisors, whose sum is σ = 10479449268288. Its totient is φ = 713451110400.

The previous prime is 2739142655999. The next prime is 2739142656053. The reversal of 2739142656000 is 6562419372.

2739142656000 is a `hidden beast` number, since 2 + 7 + 3 + 9 + 14 + 26 + 5 + 600 + 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 47 ways as a sum of consecutive naturals, for example, 63700991979 + ... + 63700992021.

It is an arithmetic number, because the mean of its divisors is an integer number (9923720898).

Almost surely, 2^{2739142656000} is an apocalyptic number.

2739142656000 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 2739142656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239724634144).

2739142656000 is an abundant number, since it is smaller than the sum of its proper divisors (7740306612288).

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

2739142656000 is an frugal number, since it uses more digits than its factorization.

2739142656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2739142656000 in words is "two trillion, seven hundred thirty-nine billion, one hundred forty-two million, six hundred fifty-six thousand".