2052915840000 has 825 divisors, whose sum is σ = 7699246614147. Its totient is φ = 544693248000.

The previous prime is 2052915839987. The next prime is 2052915840023. The reversal of 2052915840000 is 485192502.

The square root of 2052915840000 is 1432800.

It is a perfect power (a square), and thus also a powerful number.

2052915840000 is a `hidden beast` number, since 20 + 52 + 9 + 1 + 584 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 160948601856 + 1891967238144 = 401184^2 + 1375488^2 .

It is a super-2 number, since 2×2052915840000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 10316159901 + ... + 10316160099.

Almost surely, 2^{2052915840000} is an apocalyptic number.

2052915840000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2052915840000 is the 1432800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052915840000

2052915840000 is an abundant number, since it is smaller than the sum of its proper divisors (5646330774147).

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

2052915840000 is an frugal number, since it uses more digits than its factorization.

2052915840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Multiplying 2052915840000 by its sum of digits (36), we get a square (73904970240000 = 8596800²).

2052915840000 divided by its sum of digits (36) gives a square (57025440000 = 238800²).

The spelling of 2052915840000 in words is "two trillion, fifty-two billion, nine hundred fifteen million, eight hundred forty thousand".