2053862784 has 128 divisors (see below), whose sum is σ = 6176671200. Its totient is φ = 671643648.

The previous prime is 2053862761. The next prime is 2053862791. The reversal of 2053862784 is 4872683502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177562 + ... + 188774.

Almost surely, 2^2053862784 is an apocalyptic number.

2053862784 is a gapful number since it is divisible by the number (24) 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 2053862784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088335600).

2053862784 is an abundant number, since it is smaller than the sum of its proper divisors (4122808416).

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

2053862784 is a wasteful number, since it uses less digits than its factorization.

2053862784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11289 (or 11271 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2053862784 is about 45319.5629281660. The cubic root of 2053862784 is about 1271.1314825858.

The spelling of 2053862784 in words is "two billion, fifty-three million, eight hundred sixty-two thousand, seven hundred eighty-four".