2791901952 has 288 divisors, whose sum is σ = 9935475200. Its totient is φ = 755453952.

The previous prime is 2791901941. The next prime is 2791902017. The reversal of 2791901952 is 2591091972.

2791901952 is a `hidden beast` number, since 279 + 190 + 195 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2791901898 and 2791901907.

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 31 ways as a sum of consecutive naturals, for example, 917778 + ... + 920814.

Almost surely, 2^2791901952 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 2791901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967737600).

2791901952 is an abundant number, since it is smaller than the sum of its proper divisors (7143573248).

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

2791901952 is a wasteful number, since it uses less digits than its factorization.

2791901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3068 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The square root of 2791901952 is about 52838.4514534633. The cubic root of 2791901952 is about 1408.0996399872.

The spelling of 2791901952 in words is "two billion, seven hundred ninety-one million, nine hundred one thousand, nine hundred fifty-two".