2113828640 has 288 divisors, whose sum is σ = 6420363264. Its totient is φ = 650280960.

The previous prime is 2113828621. The next prime is 2113828663. The reversal of 2113828640 is 468283112.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2113828640.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10952384 + ... + 10952576.

It is an arithmetic number, because the mean of its divisors is an integer number (22292928).

Almost surely, 2^2113828640 is an apocalyptic number.

2113828640 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 2113828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210181632).

2113828640 is an abundant number, since it is smaller than the sum of its proper divisors (4306534624).

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

2113828640 is a wasteful number, since it uses less digits than its factorization.

2113828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 2113828640 is about 45976.3922029556. The cubic root of 2113828640 is about 1283.3839171981.

It can be divided in two parts, 211382 and 8640, that added together give a palindrome (220022).

The spelling of 2113828640 in words is "two billion, one hundred thirteen million, eight hundred twenty-eight thousand, six hundred forty".