2157442560 has 800 divisors, whose sum is σ = 9627821280. Its totient is φ = 455196672.

The previous prime is 2157442543. The next prime is 2157442561. The reversal of 2157442560 is 652447512.

It is a happy number.

2157442560 is a `hidden beast` number, since 2 + 1 + 57 + 4 + 42 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157442561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165957114 + ... + 165957126.

Almost surely, 2^2157442560 is an apocalyptic number.

2157442560 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 2157442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813910640).

2157442560 is an abundant number, since it is smaller than the sum of its proper divisors (7470378720).

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

2157442560 is an frugal number, since it uses more digits than its factorization.

2157442560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2157442560 is about 46448.2783319253. The cubic root of 2157442560 is about 1292.1504424048.

The spelling of 2157442560 in words is "two billion, one hundred fifty-seven million, four hundred forty-two thousand, five hundred sixty".