2053160640 has 168 divisors, whose sum is σ = 7195797648. Its totient is φ = 537139200.

The previous prime is 2053160639. The next prime is 2053160677. The reversal of 2053160640 is 460613502.

2053160640 is a `hidden beast` number, since 2 + 0 + 5 + 3 + 16 + 0 + 640 = 666.

It is a super-2 number, since 2×2053160640² = 8430937227290419200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145915 + ... + 159365.

Almost surely, 2^2053160640 is an apocalyptic number.

2053160640 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 2053160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3597898824).

2053160640 is an abundant number, since it is smaller than the sum of its proper divisors (5142637008).

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

2053160640 is a wasteful number, since it uses less digits than its factorization.

2053160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13527 (or 13514 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2053160640 is about 45311.8156775912. The cubic root of 2053160640 is about 1270.9866142469.

The spelling of 2053160640 in words is "two billion, fifty-three million, one hundred sixty thousand, six hundred forty".