2113190640 has 640 divisors, whose sum is σ = 8685158400. Its totient is φ = 466560000.

The previous prime is 2113190623. The next prime is 2113190683. The reversal of 2113190640 is 460913112.

2113190640 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 19 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13994565 + ... + 13994715.

It is an arithmetic number, because the mean of its divisors is an integer number (13570560).

Almost surely, 2^2113190640 is an apocalyptic number.

2113190640 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 2113190640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342579200).

2113190640 is an abundant number, since it is smaller than the sum of its proper divisors (6571967760).

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

2113190640 is a wasteful number, since it uses less digits than its factorization.

2113190640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2113190640 is about 45969.4533358838. The cubic root of 2113190640 is about 1283.2547863697.

The spelling of 2113190640 in words is "two billion, one hundred thirteen million, one hundred ninety thousand, six hundred forty".