2137128840 has 512 divisors, whose sum is σ = 9179136000. Its totient is φ = 429235200.

The previous prime is 2137128823. The next prime is 2137128841. The reversal of 2137128840 is 488217312.

2137128840 is a `hidden beast` number, since 2 + 1 + 371 + 288 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2137128795 and 2137128804.

It is not an unprimeable number, because it can be changed into a prime (2137128841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2577546 + ... + 2578374.

It is an arithmetic number, because the mean of its divisors is an integer number (17928000).

Almost surely, 2^2137128840 is an apocalyptic number.

2137128840 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 2137128840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4589568000).

2137128840 is an abundant number, since it is smaller than the sum of its proper divisors (7042007160).

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

2137128840 is a wasteful number, since it uses less digits than its factorization.

2137128840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 2137128840 is about 46229.0908411576. The cubic root of 2137128840 is about 1288.0821691210.

The spelling of 2137128840 in words is "two billion, one hundred thirty-seven million, one hundred twenty-eight thousand, eight hundred forty".