2694140640 has 144 divisors (see below), whose sum is σ = 9344776896. Its totient is φ = 706636800.

The previous prime is 2694140633. The next prime is 2694140651. The reversal of 2694140640 is 460414962.

2694140640 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 1 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2694140595 and 2694140604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72505 + ... + 103175.

It is an arithmetic number, because the mean of its divisors is an integer number (64894284).

Almost surely, 2^2694140640 is an apocalyptic number.

2694140640 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 2694140640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672388448).

2694140640 is an abundant number, since it is smaller than the sum of its proper divisors (6650636256).

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

2694140640 is a wasteful number, since it uses less digits than its factorization.

2694140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30753 (or 30742 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2694140640 is about 51905.1118869808. Note that the first 3 decimals coincide. The cubic root of 2694140640 is about 1391.4686338905.

The spelling of 2694140640 in words is "two billion, six hundred ninety-four million, one hundred forty thousand, six hundred forty".