2122552320 has 352 divisors, whose sum is σ = 8174899200. Its totient is φ = 459177984.

The previous prime is 2122552291. The next prime is 2122552331. The reversal of 2122552320 is 232552212.

It is a super-2 number, since 2×2122552320² = 9010456702274764800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2042361 + ... + 2043399.

Almost surely, 2^2122552320 is an apocalyptic number.

2122552320 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 2122552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087449600).

2122552320 is an abundant number, since it is smaller than the sum of its proper divisors (6052346880).

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

2122552320 is a wasteful number, since it uses less digits than its factorization.

2122552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 2122552320 is about 46071.1658198488. The cubic root of 2122552320 is about 1285.1469841506.

The spelling of 2122552320 in words is "two billion, one hundred twenty-two million, five hundred fifty-two thousand, three hundred twenty".