2128552560 has 160 divisors (see below), whose sum is σ = 7386223680. Its totient is φ = 563392512.

The previous prime is 2128552553. The next prime is 2128552561. The reversal of 2128552560 is 652558212.

It is a happy number.

2128552560 is a `hidden beast` number, since 2 + 12 + 85 + 5 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128552561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292324 + ... + 299516.

It is an arithmetic number, because the mean of its divisors is an integer number (46163898).

Almost surely, 2^2128552560 is an apocalyptic number.

2128552560 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 2128552560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3693111840).

2128552560 is an abundant number, since it is smaller than the sum of its proper divisors (5257671120).

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

2128552560 is a wasteful number, since it uses less digits than its factorization.

2128552560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 2128552560 is about 46136.2391185064. The cubic root of 2128552560 is about 1286.3568381876.

The spelling of 2128552560 in words is "two billion, one hundred twenty-eight million, five hundred fifty-two thousand, five hundred sixty".