2137867680 has 96 divisors (see below), whose sum is σ = 7252326144. Its totient is φ = 526242816.

The previous prime is 2137867661. The next prime is 2137867703. The reversal of 2137867680 is 867687312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2137867680³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 165064 + ... + 177543.

It is an arithmetic number, because the mean of its divisors is an integer number (75545064).

Almost surely, 2^2137867680 is an apocalyptic number.

2137867680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137867680 is an abundant number, since it is smaller than the sum of its proper divisors (5114458464).

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

2137867680 is a wasteful number, since it uses less digits than its factorization.

2137867680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342638 (or 342630 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 2137867680 is about 46237.0812227589. The cubic root of 2137867680 is about 1288.2305889638.

The spelling of 2137867680 in words is "two billion, one hundred thirty-seven million, eight hundred sixty-seven thousand, six hundred eighty".