2152800 has 216 divisors, whose sum is σ = 8530704. Its totient is φ = 506880.

The previous prime is 2152793. The next prime is 2152811. The reversal of 2152800 is 82512.

2152800 = 45³ + 46³ + ... + 59³.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 93589 + ... + 93611.

It is an arithmetic number, because the mean of its divisors is an integer number (39494).

2^2152800 is an apocalyptic number.

2152800 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 2152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265352).

2152800 is an abundant number, since it is smaller than the sum of its proper divisors (6377904).

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

2152800 is a wasteful number, since it uses less digits than its factorization.

2152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2152800 is about 1467.2423112765. The cubic root of 2152800 is about 129.1222925386.

The spelling of 2152800 in words is "two million, one hundred fifty-two thousand, eight hundred".