2742598656 has 352 divisors, whose sum is σ = 9558343680. Its totient is φ = 760430592.

The previous prime is 2742598603. The next prime is 2742598667. The reversal of 2742598656 is 6568952472.

2742598656 is a `hidden beast` number, since 2 + 7 + 42 + 598 + 6 + 5 + 6 = 666.

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

Its product of digits (7257600) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7160641 + ... + 7161023.

Almost surely, 2^2742598656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742598656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779171840).

2742598656 is an abundant number, since it is smaller than the sum of its proper divisors (6815745024).

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

2742598656 is a wasteful number, since it uses less digits than its factorization.

2742598656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2742598656 is about 52369.8258160174. The cubic root of 2742598656 is about 1399.7616356088.

The spelling of 2742598656 in words is "two billion, seven hundred forty-two million, five hundred ninety-eight thousand, six hundred fifty-six".