2138488560 has 160 divisors (see below), whose sum is σ = 7932617280. Its totient is φ = 526390272.

The previous prime is 2138488553. The next prime is 2138488577. The reversal of 2138488560 is 658848312.

2138488560 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 4 + 88 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 9999 + ... + 66158.

It is an arithmetic number, because the mean of its divisors is an integer number (49578858).

Almost surely, 2^2138488560 is an apocalyptic number.

2138488560 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 2138488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966308640).

2138488560 is an abundant number, since it is smaller than the sum of its proper divisors (5794128720).

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

2138488560 is a wasteful number, since it uses less digits than its factorization.

2138488560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76192 (or 76180 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2138488560 is about 46243.7948269819. The cubic root of 2138488560 is about 1288.3552862963.

The spelling of 2138488560 in words is "two billion, one hundred thirty-eight million, four hundred eighty-eight thousand, five hundred sixty".