2153813760 has 576 divisors, whose sum is σ = 9065548800. Its totient is φ = 473776128.

The previous prime is 2153813749. The next prime is 2153813813. The reversal of 2153813760 is 673183512.

2153813760 is a `hidden beast` number, since 215 + 381 + 3 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015527 + ... + 7015833.

It is an arithmetic number, because the mean of its divisors is an integer number (15738800).

Almost surely, 2^2153813760 is an apocalyptic number.

2153813760 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 2153813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532774400).

2153813760 is an abundant number, since it is smaller than the sum of its proper divisors (6911735040).

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

2153813760 is a wasteful number, since it uses less digits than its factorization.

2153813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2153813760 is about 46409.1990881118. The cubic root of 2153813760 is about 1291.4255738345.

The spelling of 2153813760 in words is "two billion, one hundred fifty-three million, eight hundred thirteen thousand, seven hundred sixty".