2082153600 has 480 divisors, whose sum is σ = 7977251700. Its totient is φ = 534159360.

The previous prime is 2082153599. The next prime is 2082153617. The reversal of 2082153600 is 63512802.

2082153600 is a `hidden beast` number, since 2 + 0 + 8 + 2 + 1 + 53 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 438986304 + 1643167296 = 20952^2 + 40536^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2082153600² = 8670727227985920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7516662 + ... + 7516938.

Almost surely, 2^2082153600 is an apocalyptic number.

2082153600 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 2082153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988625850).

2082153600 is an abundant number, since it is smaller than the sum of its proper divisors (5895098100).

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

2082153600 is a wasteful number, since it uses less digits than its factorization.

2082153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2082153600 is about 45630.6212975454. The cubic root of 2082153600 is about 1276.9412642615.

The spelling of 2082153600 in words is "two billion, eighty-two million, one hundred fifty-three thousand, six hundred".