2130567296 has 256 divisors, whose sum is σ = 5441022720. Its totient is φ = 815923200.

The previous prime is 2130567289. The next prime is 2130567323. The reversal of 2130567296 is 6927650312.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12757805 + ... + 12757971.

It is an arithmetic number, because the mean of its divisors is an integer number (21253995).

Almost surely, 2^2130567296 is an apocalyptic number.

2130567296 is a gapful number since it is divisible by the number (26) 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 2130567296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720511360).

2130567296 is an abundant number, since it is smaller than the sum of its proper divisors (3310455424).

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

2130567296 is a wasteful number, since it uses less digits than its factorization.

2130567296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 2130567296 is about 46158.0685904426. The cubic root of 2130567296 is about 1286.7625680738.

The spelling of 2130567296 in words is "two billion, one hundred thirty million, five hundred sixty-seven thousand, two hundred ninety-six".