2100090240 has 320 divisors, whose sum is σ = 7944298560. Its totient is φ = 526860288.

The previous prime is 2100090221. The next prime is 2100090241. The reversal of 2100090240 is 420900012.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×2100090240² = 8820758032286515200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100090241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880089 + ... + 882471.

It is an arithmetic number, because the mean of its divisors is an integer number (24825933).

Almost surely, 2^2100090240 is an apocalyptic number.

2100090240 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 2100090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972149280).

2100090240 is an abundant number, since it is smaller than the sum of its proper divisors (5844208320).

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

2100090240 is a wasteful number, since it uses less digits than its factorization.

2100090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2100090240 is about 45826.7415381020. The cubic root of 2100090240 is about 1280.5975074968.

Adding to 2100090240 its reverse (420900012), we get a palindrome (2520990252).

The spelling of 2100090240 in words is "two billion, one hundred million, ninety thousand, two hundred forty".