2157629760 has 672 divisors, whose sum is σ = 9053291520. Its totient is φ = 467251200.

The previous prime is 2157629731. The next prime is 2157629767. The reversal of 2157629760 is 679267512.

2157629760 is a `hidden beast` number, since 2 + 1 + 576 + 2 + 9 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157629767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69600945 + ... + 69600975.

It is an arithmetic number, because the mean of its divisors is an integer number (13472160).

Almost surely, 2^2157629760 is an apocalyptic number.

2157629760 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 2157629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4526645760).

2157629760 is an abundant number, since it is smaller than the sum of its proper divisors (6895661760).

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

2157629760 is a wasteful number, since it uses less digits than its factorization.

2157629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2157629760 is about 46450.2934328730. The cubic root of 2157629760 is about 1292.1878143642.

It can be divided in two parts, 215762 and 9760, that added together give a palindrome (225522).

The spelling of 2157629760 in words is "two billion, one hundred fifty-seven million, six hundred twenty-nine thousand, seven hundred sixty".