2138546970 has 96 divisors (see below), whose sum is σ = 6400517760. Its totient is φ = 485274240.

The previous prime is 2138546951. The next prime is 2138546989. The reversal of 2138546970 is 796458312.

2138546970 is a `hidden beast` number, since 2 + 1 + 38 + 546 + 9 + 70 = 666.

2138546970 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2138546951) and next prime (2138546989).

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

2138546970 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75360 + ... + 99780.

It is an arithmetic number, because the mean of its divisors is an integer number (66672060).

It is a 1-persistent number, because it is pandigital, but 2⋅2138546970 = 4277093940 is not.

Almost surely, 2^2138546970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138546970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3200258880).

2138546970 is an abundant number, since it is smaller than the sum of its proper divisors (4261970790).

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

2138546970 is a wasteful number, since it uses less digits than its factorization.

2138546970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24580 (or 24577 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2138546970 is about 46244.4263668607. The cubic root of 2138546970 is about 1288.3670160991.

The spelling of 2138546970 in words is "two billion, one hundred thirty-eight million, five hundred forty-six thousand, nine hundred seventy".