2791895040 has 728 divisors, whose sum is σ = 11602780848. Its totient is φ = 637009920.

The previous prime is 2791895033. The next prime is 2791895053. The reversal of 2791895040 is 405981972.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 164229112 + ... + 164229128.

Almost surely, 2^2791895040 is an apocalyptic number.

2791895040 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 2791895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801390424).

2791895040 is an abundant number, since it is smaller than the sum of its proper divisors (8810885808).

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

2791895040 is an equidigital number, since it uses as much as digits as its factorization.

2791895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2791895040 is about 52838.3860465098. The cubic root of 2791895040 is about 1408.0984779606.

The spelling of 2791895040 in words is "two billion, seven hundred ninety-one million, eight hundred ninety-five thousand, forty".