2057261952 has 64 divisors (see below), whose sum is σ = 5475980160. Its totient is φ = 684326400.

The previous prime is 2057261909. The next prime is 2057261971. The reversal of 2057261952 is 2591627502.

2057261952 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2057261952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187827 + ... + 198477.

It is an arithmetic number, because the mean of its divisors is an integer number (85562190).

Almost surely, 2^2057261952 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 2057261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737990080).

2057261952 is an abundant number, since it is smaller than the sum of its proper divisors (3418718208).

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

2057261952 is a wasteful number, since it uses less digits than its factorization.

2057261952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11171 (or 11159 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 2057261952 is about 45357.0496394993. The cubic root of 2057261952 is about 1271.8323421287.

The spelling of 2057261952 in words is "two billion, fifty-seven million, two hundred sixty-one thousand, nine hundred fifty-two".