2052100890 has 216 divisors, whose sum is σ = 6555493620. Its totient is φ = 444019968.

The previous prime is 2052100877. The next prime is 2052100907. The reversal of 2052100890 is 980012502.

It can be written as a sum of positive squares in 2 ways, for example, as 2032837569 + 19263321 = 45087^2 + 4389^2 .

It is a super-2 number, since 2×2052100890² = 8422236125477584200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1591366 + ... + 1592654.

Almost surely, 2^2052100890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052100890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277746810).

2052100890 is an abundant number, since it is smaller than the sum of its proper divisors (4503392730).

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

2052100890 is a wasteful number, since it uses less digits than its factorization.

2052100890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2052100890 is about 45300.1201985160. The cubic root of 2052100890 is about 1270.7679010678.

The spelling of 2052100890 in words is "two billion, fifty-two million, one hundred thousand, eight hundred ninety".