2133139680 has 288 divisors, whose sum is σ = 8355529728. Its totient is φ = 485452800.

The previous prime is 2133139639. The next prime is 2133139681. The reversal of 2133139680 is 869313312.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133139681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4344235 + ... + 4344725.

It is an arithmetic number, because the mean of its divisors is an integer number (29012256).

Almost surely, 2^2133139680 is an apocalyptic number.

2133139680 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 2133139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177764864).

2133139680 is an abundant number, since it is smaller than the sum of its proper divisors (6222390048).

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

2133139680 is a wasteful number, since it uses less digits than its factorization.

2133139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2133139680 is about 46185.9251287662. The cubic root of 2133139680 is about 1287.2802261626.

The spelling of 2133139680 in words is "two billion, one hundred thirty-three million, one hundred thirty-nine thousand, six hundred eighty".