2139812640 has 480 divisors, whose sum is σ = 8752423680. Its totient is φ = 482236416.

The previous prime is 2139812581. The next prime is 2139812641. The reversal of 2139812640 is 462189312.

2139812640 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 8 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 2139812595 and 2139812604.

It is not an unprimeable number, because it can be changed into a prime (2139812641) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 9344046 + ... + 9344274.

It is an arithmetic number, because the mean of its divisors is an integer number (18234216).

Almost surely, 2^2139812640 is an apocalyptic number.

2139812640 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 2139812640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376211840).

2139812640 is an abundant number, since it is smaller than the sum of its proper divisors (6612611040).

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

2139812640 is a wasteful number, since it uses less digits than its factorization.

2139812640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2139812640 is about 46258.1089107629. The cubic root of 2139812640 is about 1288.6211334847.

The spelling of 2139812640 in words is "two billion, one hundred thirty-nine million, eight hundred twelve thousand, six hundred forty".