2138337300 has 288 divisors, whose sum is σ = 7048548864. Its totient is φ = 495936000.

The previous prime is 2138337283. The next prime is 2138337379. The reversal of 2138337300 is 37338312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10134195 + ... + 10134405.

It is an arithmetic number, because the mean of its divisors is an integer number (24474128).

Almost surely, 2^2138337300 is an apocalyptic number.

2138337300 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 2138337300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524274432).

2138337300 is an abundant number, since it is smaller than the sum of its proper divisors (4910211564).

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

2138337300 is a wasteful number, since it uses less digits than its factorization.

2138337300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 2138337300 is about 46242.1593353944. The cubic root of 2138337300 is about 1288.3249095123.

The spelling of 2138337300 in words is "two billion, one hundred thirty-eight million, three hundred thirty-seven thousand, three hundred".