2791123920 has 400 divisors, whose sum is σ = 11059448400. Its totient is φ = 646299648.

The previous prime is 2791123919. The next prime is 2791123949. The reversal of 2791123920 is 293211972.

2791123920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5817744 + 2785306176 = 2412^2 + 52776^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431106 + ... + 1433054.

It is an arithmetic number, because the mean of its divisors is an integer number (27648621).

Almost surely, 2^2791123920 is an apocalyptic number.

2791123920 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 2791123920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529724200).

2791123920 is an abundant number, since it is smaller than the sum of its proper divisors (8268324480).

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

2791123920 is a wasteful number, since it uses less digits than its factorization.

2791123920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 2791123920 is about 52831.0885748155. The cubic root of 2791123920 is about 1407.9688273272.

The spelling of 2791123920 in words is "two billion, seven hundred ninety-one million, one hundred twenty-three thousand, nine hundred twenty".