2190090960 has 420 divisors, whose sum is σ = 8259184548. Its totient is φ = 537974784.

The previous prime is 2190090949. The next prime is 2190090971. The reversal of 2190090960 is 690900912.

It is an interprime number because it is at equal distance from previous prime (2190090949) and next prime (2190090971).

It can be written as a sum of positive squares in 2 ways, for example, as 1262523024 + 927567936 = 35532^2 + 30456^2 .

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 83 ways as a sum of consecutive naturals, for example, 46597657 + ... + 46597703.

Almost surely, 2^2190090960 is an apocalyptic number.

2190090960 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 2190090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129592274).

2190090960 is an abundant number, since it is smaller than the sum of its proper divisors (6069093588).

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

2190090960 is an equidigital number, since it uses as much as digits as its factorization.

2190090960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 2190090960 is about 46798.4076652187. The cubic root of 2190090960 is about 1298.6358392295.

The spelling of 2190090960 in words is "two billion, one hundred ninety million, ninety thousand, nine hundred sixty".