2792370672 has 200 divisors, whose sum is σ = 9947411936. Its totient is φ = 736418304.

The previous prime is 2792370661. The next prime is 2792370673. The reversal of 2792370672 is 2760732972.

2792370672 is a `hidden beast` number, since 279 + 2 + 370 + 6 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2792370673) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106098 + ... + 129774.

Almost surely, 2^2792370672 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 2792370672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4973705968).

2792370672 is an abundant number, since it is smaller than the sum of its proper divisors (7155041264).

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

2792370672 is a wasteful number, since it uses less digits than its factorization.

2792370672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23717 (or 23702 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 2792370672 is about 52842.8866736101. The cubic root of 2792370672 is about 1408.1784354395.

The spelling of 2792370672 in words is "two billion, seven hundred ninety-two million, three hundred seventy thousand, six hundred seventy-two".