2153724048 has 270 divisors, whose sum is σ = 7342312614. Its totient is φ = 587575296.

The previous prime is 2153724031. The next prime is 2153724073. The reversal of 2153724048 is 8404273512.

It is a happy number.

2153724048 is a `hidden beast` number, since 215 + 37 + 2 + 404 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2149991424 + 3732624 = 46368^2 + 1932^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3732336 + ... + 3732912.

Almost surely, 2^2153724048 is an apocalyptic number.

2153724048 is a gapful number since it is divisible by the number (28) 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 2153724048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671156307).

2153724048 is an abundant number, since it is smaller than the sum of its proper divisors (5188588566).

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

2153724048 is a wasteful number, since it uses less digits than its factorization.

2153724048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2153724048 is about 46408.2325455301. The cubic root of 2153724048 is about 1291.4076431632.

The spelling of 2153724048 in words is "two billion, one hundred fifty-three million, seven hundred twenty-four thousand, forty-eight".