2190529152 has 576 divisors, whose sum is σ = 8315611200. Its totient is φ = 538804224.

The previous prime is 2190529129. The next prime is 2190529157. The reversal of 2190529152 is 2519250912.

It is a happy number.

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

It is a super-4 number, since 4×2190529152⁴ (a number of 38 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2190529157) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75535474 + ... + 75535502.

It is an arithmetic number, because the mean of its divisors is an integer number (14436825).

Almost surely, 2^2190529152 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 2190529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4157805600).

2190529152 is an abundant number, since it is smaller than the sum of its proper divisors (6125082048).

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

2190529152 is a wasteful number, since it uses less digits than its factorization.

2190529152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 2190529152 is about 46803.0891288171. The cubic root of 2190529152 is about 1298.7224435302.

The spelling of 2190529152 in words is "two billion, one hundred ninety million, five hundred twenty-nine thousand, one hundred fifty-two".