2153515392 has 384 divisors, whose sum is σ = 7836341760. Its totient is φ = 553107456.

The previous prime is 2153515381. The next prime is 2153515393. The reversal of 2153515392 is 2935153512.

2153515392 is a `hidden beast` number, since 2 + 1 + 53 + 515 + 3 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

Its product of digits (40500) is a multiple of the sum of its prime factors (750).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153515393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3152683 + ... + 3153365.

It is an arithmetic number, because the mean of its divisors is an integer number (20407140).

Almost surely, 2^2153515392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153515392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918170880).

2153515392 is an abundant number, since it is smaller than the sum of its proper divisors (5682826368).

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

2153515392 is a wasteful number, since it uses less digits than its factorization.

2153515392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its digits is 40500, while the sum is 36.

The square root of 2153515392 is about 46405.9844416644. The cubic root of 2153515392 is about 1291.3659373164.

The spelling of 2153515392 in words is "two billion, one hundred fifty-three million, five hundred fifteen thousand, three hundred ninety-two".