2190413952 has 96 divisors (see below), whose sum is σ = 6312727980. Its totient is φ = 729028608.

The previous prime is 2190413941. The next prime is 2190413963. The reversal of 2190413952 is 2593140912.

2190413952 is a `hidden beast` number, since 2 + 190 + 413 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (2190413941) and next prime (2190413963).

It can be written as a sum of positive squares in 2 ways, for example, as 1990587456 + 199826496 = 44616^2 + 14136^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2190413952² = 9595826562232516608, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166038 + ... + 1167914.

Almost surely, 2^2190413952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2190413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3156363990).

2190413952 is an abundant number, since it is smaller than the sum of its proper divisors (4122314028).

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

2190413952 is a wasteful number, since it uses less digits than its factorization.

2190413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2190413952 is about 46801.8584246395. The cubic root of 2190413952 is about 1298.6996765124.

The spelling of 2190413952 in words is "two billion, one hundred ninety million, four hundred thirteen thousand, nine hundred fifty-two".