2152293552 has 240 divisors, whose sum is σ = 6714317280. Its totient is φ = 659529216.

The previous prime is 2152293547. The next prime is 2152293553. The reversal of 2152293552 is 2553922512.

2152293552 is a `hidden beast` number, since 2 + 15 + 2 + 2 + 93 + 552 = 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 (2152293553) 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, 5770038 + ... + 5770410.

It is an arithmetic number, because the mean of its divisors is an integer number (27976322).

Almost surely, 2^2152293552 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 2152293552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357158640).

2152293552 is an abundant number, since it is smaller than the sum of its proper divisors (4562023728).

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

2152293552 is a wasteful number, since it uses less digits than its factorization.

2152293552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 434 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 2152293552 is about 46392.8178924281. The cubic root of 2152293552 is about 1291.1216636877.

The spelling of 2152293552 in words is "two billion, one hundred fifty-two million, two hundred ninety-three thousand, five hundred fifty-two".