2295132000 has 384 divisors, whose sum is σ = 8717829120. Its totient is φ = 517017600.

The previous prime is 2295131953. The next prime is 2295132011. The reversal of 2295132000 is 2315922.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7475847 + ... + 7476153.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 2^2295132000 is an apocalyptic number.

2295132000 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 2295132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358914560).

2295132000 is an abundant number, since it is smaller than the sum of its proper divisors (6422697120).

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

2295132000 is a wasteful number, since it uses less digits than its factorization.

2295132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 2295132000 is about 47907.5359416449. The cubic root of 2295132000 is about 1319.0741901176.

Adding to 2295132000 its reverse (2315922), we get a palindrome (2297447922).

The spelling of 2295132000 in words is "two billion, two hundred ninety-five million, one hundred thirty-two thousand".