2152853640 has 448 divisors, whose sum is σ = 8499168000. Its totient is φ = 480370176.

The previous prime is 2152853629. The next prime is 2152853641. The reversal of 2152853640 is 463582512.

2152853640 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 8 + 5 + 3 + 640 = 666.

It is a super-2 number, since 2×2152853640² = 9269557590522499200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2152853595 and 2152853604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152853641) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10818261 + ... + 10818459.

Almost surely, 2^2152853640 is an apocalyptic number.

2152853640 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 2152853640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4249584000).

2152853640 is an abundant number, since it is smaller than the sum of its proper divisors (6346314360).

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

2152853640 is a wasteful number, since it uses less digits than its factorization.

2152853640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2152853640 is about 46398.8538651549. The cubic root of 2152853640 is about 1291.2336495010.

The spelling of 2152853640 in words is "two billion, one hundred fifty-two million, eight hundred fifty-three thousand, six hundred forty".