2159292800 has 288 divisors, whose sum is σ = 6358655520. Its totient is φ = 722104320.

The previous prime is 2159292763. The next prime is 2159292803. The reversal of 2159292800 is 82929512.

It is a super-2 number, since 2×2159292800² = 9325090792263680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159292803) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7369454 + ... + 7369746.

It is an arithmetic number, because the mean of its divisors is an integer number (22078665).

Almost surely, 2^2159292800 is an apocalyptic number.

2159292800 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 2159292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179327760).

2159292800 is an abundant number, since it is smaller than the sum of its proper divisors (4199362720).

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

2159292800 is a wasteful number, since it uses less digits than its factorization.

2159292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 2159292800 is about 46468.1912710189. The cubic root of 2159292800 is about 1292.5197230447.

The spelling of 2159292800 in words is "two billion, one hundred fifty-nine million, two hundred ninety-two thousand, eight hundred".