2695603680 has 864 divisors, whose sum is σ = 12261570048. Its totient is φ = 532224000.

The previous prime is 2695603649. The next prime is 2695603711. The reversal of 2695603680 is 863065962.

It is a happy number.

2695603680 is a `hidden beast` number, since 2 + 6 + 9 + 560 + 3 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2695603649) and next prime (2695603711).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17851605 + ... + 17851755.

It is an arithmetic number, because the mean of its divisors is an integer number (14191632).

Almost surely, 2^2695603680 is an apocalyptic number.

2695603680 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 2695603680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130785024).

2695603680 is an abundant number, since it is smaller than the sum of its proper divisors (9565966368).

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

2695603680 is a wasteful number, since it uses less digits than its factorization.

2695603680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2695603680 is about 51919.2033837192. The cubic root of 2695603680 is about 1391.7204650738.

The spelling of 2695603680 in words is "two billion, six hundred ninety-five million, six hundred three thousand, six hundred eighty".