2137777920 has 504 divisors, whose sum is σ = 8042731200. Its totient is φ = 543449088.

The previous prime is 2137777903. The next prime is 2137777927. The reversal of 2137777920 is 297777312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2137777927) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27060441 + ... + 27060519.

It is an arithmetic number, because the mean of its divisors is an integer number (15957800).

Almost surely, 2^2137777920 is an apocalyptic number.

2137777920 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 2137777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021365600).

2137777920 is an abundant number, since it is smaller than the sum of its proper divisors (5904953280).

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

2137777920 is an frugal number, since it uses more digits than its factorization.

2137777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The square root of 2137777920 is about 46236.1105630653. The cubic root of 2137777920 is about 1288.2125595979.

The spelling of 2137777920 in words is "two billion, one hundred thirty-seven million, seven hundred seventy-seven thousand, nine hundred twenty".