2792796160 has 468 divisors, whose sum is σ = 8941819824. Its totient is φ = 832634880.

The previous prime is 2792796157. The next prime is 2792796163. The reversal of 2792796160 is 616972972.

It is an interprime number because it is at equal distance from previous prime (2792796157) and next prime (2792796163).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2792796163) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121425909 + ... + 121425931.

Almost surely, 2^2792796160 is an apocalyptic number.

2792796160 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 2792796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470909912).

2792796160 is an abundant number, since it is smaller than the sum of its proper divisors (6149023664).

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

2792796160 is a wasteful number, since it uses less digits than its factorization.

2792796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 2792796160 is about 52846.9124925951. The cubic root of 2792796160 is about 1408.2499556239.

The spelling of 2792796160 in words is "two billion, seven hundred ninety-two million, seven hundred ninety-six thousand, one hundred sixty".