2052993600 has 840 divisors, whose sum is σ = 9024485888. Its totient is φ = 447897600.

The previous prime is 2052993599. The next prime is 2052993601. The reversal of 2052993600 is 63992502.

2052993600 = 129³ + 130³ + ... + 303³.

2052993600 is a `hidden beast` number, since 2 + 0 + 5 + 299 + 360 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2052993599) and next prime (2052993601).

It is a tau number, because it is divible by the number of its divisors (840).

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 (2052993601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28123164 + ... + 28123236.

Almost surely, 2^2052993600 is an apocalyptic number.

2052993600 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 2052993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512242944).

2052993600 is an abundant number, since it is smaller than the sum of its proper divisors (6971492288).

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

2052993600 is a wasteful number, since it uses less digits than its factorization.

2052993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 2052993600 is about 45309.9724122626. The cubic root of 2052993600 is about 1270.9521452177.

The spelling of 2052993600 in words is "two billion, fifty-two million, nine hundred ninety-three thousand, six hundred".