2695340340 has 576 divisors, whose sum is σ = 10810920960. Its totient is φ = 545529600.

The previous prime is 2695340321. The next prime is 2695340363. The reversal of 2695340340 is 430435962.

2695340340 is a `hidden beast` number, since 269 + 53 + 4 + 0 + 340 = 666.

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 = 2695340295 and 2695340304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32473939 + ... + 32474021.

It is an arithmetic number, because the mean of its divisors is an integer number (18768960).

Almost surely, 2^2695340340 is an apocalyptic number.

2695340340 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 2695340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405460480).

2695340340 is an abundant number, since it is smaller than the sum of its proper divisors (8115580620).

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

2695340340 is a wasteful number, since it uses less digits than its factorization.

2695340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 182 counting only the distinct ones).

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

The square root of 2695340340 is about 51916.6672659176. The cubic root of 2695340340 is about 1391.6751434259.

The spelling of 2695340340 in words is "two billion, six hundred ninety-five million, three hundred forty thousand, three hundred forty".