2113140040 has 128 divisors (see below), whose sum is σ = 5320909440. Its totient is φ = 748800000.

The previous prime is 2113139999. The next prime is 2113140091. The reversal of 2113140040 is 400413112.

It is a junction number, because it is equal to n+sod(n) for n = 2113139996 and 2113140023.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3515740 + ... + 3516340.

It is an arithmetic number, because the mean of its divisors is an integer number (41569605).

Almost surely, 2^2113140040 is an apocalyptic number.

2113140040 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 2113140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2660454720).

2113140040 is an abundant number, since it is smaller than the sum of its proper divisors (3207769400).

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

2113140040 is a wasteful number, since it uses less digits than its factorization.

2113140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2113140040 is about 45968.9029671146. The cubic root of 2113140040 is about 1283.2445438468.

Adding to 2113140040 its reverse (400413112), we get a palindrome (2513553152).

The spelling of 2113140040 in words is "two billion, one hundred thirteen million, one hundred forty thousand, forty".