2149136640 has 432 divisors, whose sum is σ = 8800646400. Its totient is φ = 473776128.

The previous prime is 2149136599. The next prime is 2149136641. The reversal of 2149136640 is 466319412.

2149136640 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 1 + 3 + 6 + 640 = 666.

2149136640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×2149136640⁴ (a number of 38 digits) contains 4444 as substring.

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 = 2149136595 and 2149136604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149136641) 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, 2338101 + ... + 2339019.

Almost surely, 2^2149136640 is an apocalyptic number.

2149136640 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 2149136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400323200).

2149136640 is an abundant number, since it is smaller than the sum of its proper divisors (6651509760).

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

2149136640 is a wasteful number, since it uses less digits than its factorization.

2149136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2149136640 is about 46358.7816923612. The cubic root of 2149136640 is about 1290.4900968147.

The spelling of 2149136640 in words is "two billion, one hundred forty-nine million, one hundred thirty-six thousand, six hundred forty".