2996278272 has 264 divisors, whose sum is σ = 9455420520. Its totient is φ = 908328960.

The previous prime is 2996278223. The next prime is 2996278273. The reversal of 2996278272 is 2728726992.

It is a happy number.

2996278272 is a `hidden beast` number, since 2 + 9 + 9 + 627 + 8 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43877376 + 2952400896 = 6624^2 + 54336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2996278273) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10662772 + ... + 10663052.

Almost surely, 2^2996278272 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 2996278272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727710260).

2996278272 is an abundant number, since it is smaller than the sum of its proper divisors (6459142248).

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

2996278272 is a wasteful number, since it uses less digits than its factorization.

2996278272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 388 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 2996278272 is about 54738.2706339906. The cubic root of 2996278272 is about 1441.6529167737.

The spelling of 2996278272 in words is "two billion, nine hundred ninety-six million, two hundred seventy-eight thousand, two hundred seventy-two".