2190545280 has 576 divisors, whose sum is σ = 9523332000. Its totient is φ = 454164480.

The previous prime is 2190545263. The next prime is 2190545293. The reversal of 2190545280 is 825450912.

2190545280 is a `hidden beast` number, since 2 + 1 + 90 + 545 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 4878496 + ... + 4878944.

Almost surely, 2^2190545280 is an apocalyptic number.

2190545280 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 2190545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761666000).

2190545280 is an abundant number, since it is smaller than the sum of its proper divisors (7332786720).

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

2190545280 is a wasteful number, since it uses less digits than its factorization.

2190545280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2190545280 is about 46803.2614248195. The cubic root of 2190545280 is about 1298.7256308490.

The spelling of 2190545280 in words is "two billion, one hundred ninety million, five hundred forty-five thousand, two hundred eighty".