2122552080 has 320 divisors, whose sum is σ = 8040556800. Its totient is φ = 510382080.

The previous prime is 2122552057. The next prime is 2122552147. The reversal of 2122552080 is 802552212.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3730036 + ... + 3730604.

It is an arithmetic number, because the mean of its divisors is an integer number (25126740).

Almost surely, 2^2122552080 is an apocalyptic number.

2122552080 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 2122552080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020278400).

2122552080 is an abundant number, since it is smaller than the sum of its proper divisors (5918004720).

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

2122552080 is a wasteful number, since it uses less digits than its factorization.

2122552080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2122552080 is about 46071.1632151827. The cubic root of 2122552080 is about 1285.1469357128.

The spelling of 2122552080 in words is "two billion, one hundred twenty-two million, five hundred fifty-two thousand, eighty".