2090987100 has 108 divisors (see below), whose sum is σ = 6582182880. Its totient is φ = 555206400.

The previous prime is 2090987077. The next prime is 2090987137. The reversal of 2090987100 is 17890902.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 210240 + ... + 219960.

Almost surely, 2^2090987100 is an apocalyptic number.

2090987100 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 2090987100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291091440).

2090987100 is an abundant number, since it is smaller than the sum of its proper divisors (4491195780).

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

2090987100 is a wasteful number, since it uses less digits than its factorization.

2090987100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9980 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 2090987100 is about 45727.3124073567. The cubic root of 2090987100 is about 1278.7445168508.

The spelling of 2090987100 in words is "two billion, ninety million, nine hundred eighty-seven thousand, one hundred".