2190553920 has 336 divisors, whose sum is σ = 7888425168. Its totient is φ = 557383680.

The previous prime is 2190553919. The next prime is 2190553933. The reversal of 2190553920 is 293550912.

It is a happy number.

2190553920 is a `hidden beast` number, since 2 + 19 + 0 + 553 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 150405696 + 2040148224 = 12264^2 + 45168^2 .

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 47 ways as a sum of consecutive naturals, for example, 6499992 + ... + 6500328.

Almost surely, 2^2190553920 is an apocalyptic number.

2190553920 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 2190553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944212584).

2190553920 is an abundant number, since it is smaller than the sum of its proper divisors (5697871248).

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

2190553920 is a wasteful number, since it uses less digits than its factorization.

2190553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2190553920 is about 46803.3537259885. The cubic root of 2190553920 is about 1298.7273383348.

The spelling of 2190553920 in words is "two billion, one hundred ninety million, five hundred fifty-three thousand, nine hundred twenty".