2107691040 has 384 divisors, whose sum is σ = 8295823872. Its totient is φ = 437944320.

The previous prime is 2107691021. The next prime is 2107691041. The reversal of 2107691040 is 401967012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2107690989 and 2107691007.

It is not an unprimeable number, because it can be changed into a prime (2107691041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3188310 + ... + 3188970.

It is an arithmetic number, because the mean of its divisors is an integer number (21603708).

Almost surely, 2^2107691040 is an apocalyptic number.

2107691040 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 2107691040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147911936).

2107691040 is an abundant number, since it is smaller than the sum of its proper divisors (6188132832).

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

2107691040 is a wasteful number, since it uses less digits than its factorization.

2107691040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 2107691040 is about 45909.5963824558. The cubic root of 2107691040 is about 1282.1405913913.

The spelling of 2107691040 in words is "two billion, one hundred seven million, six hundred ninety-one thousand, forty".