2138456880 has 240 divisors, whose sum is σ = 8472981504. Its totient is φ = 472988160.

The previous prime is 2138456869. The next prime is 2138456891. The reversal of 2138456880 is 886548312.

2138456880 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 4 + 568 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2138456869) and next prime (2138456891).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149397 + ... + 163083.

Almost surely, 2^2138456880 is an apocalyptic number.

2138456880 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 2138456880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236490752).

2138456880 is an abundant number, since it is smaller than the sum of its proper divisors (6334524624).

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

2138456880 is a wasteful number, since it uses less digits than its factorization.

2138456880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13744 (or 13735 counting only the distinct ones).

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

The square root of 2138456880 is about 46243.4522932707. The cubic root of 2138456880 is about 1288.3489242801.

The spelling of 2138456880 in words is "two billion, one hundred thirty-eight million, four hundred fifty-six thousand, eight hundred eighty".