2695343040 has 560 divisors, whose sum is σ = 10894588320. Its totient is φ = 627056640.

The previous prime is 2695343029. The next prime is 2695343051. The reversal of 2695343040 is 403435962.

It is an interprime number because it is at equal distance from previous prime (2695343029) and next prime (2695343051).

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 = 2695342986 and 2695343004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6402030 + ... + 6402450.

It is an arithmetic number, because the mean of its divisors is an integer number (19454622).

Almost surely, 2^2695343040 is an apocalyptic number.

2695343040 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 2695343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447294160).

2695343040 is an abundant number, since it is smaller than the sum of its proper divisors (8199245280).

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

2695343040 is a wasteful number, since it uses less digits than its factorization.

2695343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2695343040 is about 51916.6932691211. The cubic root of 2695343040 is about 1391.6756081194.

The spelling of 2695343040 in words is "two billion, six hundred ninety-five million, three hundred forty-three thousand, forty".