2137938000 has 320 divisors, whose sum is σ = 7785573120. Its totient is φ = 499968000.

The previous prime is 2137937999. The next prime is 2137938001. The reversal of 2137938000 is 8397312.

It is an interprime number because it is at equal distance from previous prime (2137937999) and next prime (2137938001).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137938001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1913442 + ... + 1914558.

It is an arithmetic number, because the mean of its divisors is an integer number (24329916).

Almost surely, 2^2137938000 is an apocalyptic number.

2137938000 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 2137938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892786560).

2137938000 is an abundant number, since it is smaller than the sum of its proper divisors (5647635120).

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

2137938000 is a wasteful number, since it uses less digits than its factorization.

2137938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 2137938000 is about 46237.8416451287. The cubic root of 2137938000 is about 1288.2447132215.

The spelling of 2137938000 in words is "two billion, one hundred thirty-seven million, nine hundred thirty-eight thousand".