2011553792 has 84 divisors (see below), whose sum is σ = 4199814816. Its totient is φ = 962396160.

The previous prime is 2011553773. The next prime is 2011553813. The reversal of 2011553792 is 2973551102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22601684 + ... + 22601772.

Almost surely, 2^2011553792 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 2011553792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099907408).

2011553792 is an abundant number, since it is smaller than the sum of its proper divisors (2188261024).

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

2011553792 is an frugal number, since it uses more digits than its factorization.

2011553792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 2011553792 is about 44850.3488503713. The cubic root of 2011553792 is about 1262.3425372612.

The spelling of 2011553792 in words is "two billion, eleven million, five hundred fifty-three thousand, seven hundred ninety-two".