2100333090 has 128 divisors (see below), whose sum is σ = 5399654400. Its totient is φ = 521706240.

The previous prime is 2100333089. The next prime is 2100333097. The reversal of 2100333090 is 903330012.

It is a super-2 number, since 2×2100333090² = 8822798177897896200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100333097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5850331 + ... + 5850689.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 2^2100333090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100333090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699827200).

2100333090 is an abundant number, since it is smaller than the sum of its proper divisors (3299321310).

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

2100333090 is a wasteful number, since it uses less digits than its factorization.

2100333090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592.

The product of its (nonzero) digits is 486, while the sum is 21.

The square root of 2100333090 is about 45829.3911153094. The cubic root of 2100333090 is about 1280.6468674579.

The spelling of 2100333090 in words is "two billion, one hundred million, three hundred thirty-three thousand, ninety".