2057218560 has 240 divisors, whose sum is σ = 7390839456. Its totient is φ = 548425728.

The previous prime is 2057218519. The next prime is 2057218567. The reversal of 2057218560 is 658127502.

It is a happy number.

2057218560 is a `hidden beast` number, since 2 + 0 + 572 + 1 + 85 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2057218567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620427 + ... + 623733.

Almost surely, 2^2057218560 is an apocalyptic number.

2057218560 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 2057218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3695419728).

2057218560 is an abundant number, since it is smaller than the sum of its proper divisors (5333620896).

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

2057218560 is an frugal number, since it uses more digits than its factorization.

2057218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2057218560 is about 45356.5712989860. The cubic root of 2057218560 is about 1271.8234001890.

The spelling of 2057218560 in words is "two billion, fifty-seven million, two hundred eighteen thousand, five hundred sixty".