2139095040 has 192 divisors, whose sum is σ = 7247756880. Its totient is φ = 536870912.

The previous prime is 2139095017. The next prime is 2139095053. The reversal of 2139095040 is 405909312.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2139094992 and 2139095010.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 2139095040 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125829112 + ... + 125829128.

Almost surely, 2^2139095040 is an apocalyptic number.

2139095040 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 2139095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623878440).

2139095040 is an abundant number, since it is smaller than the sum of its proper divisors (5108661840).

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

2139095040 is an frugal number, since it uses more digits than its factorization.

2139095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 2139095040 is about 46250.3517824459. The cubic root of 2139095040 is about 1288.4770682369.

The spelling of 2139095040 in words is "two billion, one hundred thirty-nine million, ninety-five thousand, forty".