2742974976 has 320 divisors, whose sum is σ = 9113702400. Its totient is φ = 715309056.

The previous prime is 2742974951. The next prime is 2742975013. The reversal of 2742974976 is 6794792472.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 5924121 + ... + 5924583.

It is an arithmetic number, because the mean of its divisors is an integer number (28480320).

Almost surely, 2^2742974976 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 2742974976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556851200).

2742974976 is an abundant number, since it is smaller than the sum of its proper divisors (6370727424).

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

2742974976 is a wasteful number, since it uses less digits than its factorization.

2742974976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 523 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 57.

The square root of 2742974976 is about 52373.4186014241. The cubic root of 2742974976 is about 1399.8256544797.

The spelling of 2742974976 in words is "two billion, seven hundred forty-two million, nine hundred seventy-four thousand, nine hundred seventy-six".