2693565672 has 144 divisors (see below), whose sum is σ = 7955357760. Its totient is φ = 757778112.

The previous prime is 2693565649. The next prime is 2693565689. The reversal of 2693565672 is 2765653962.

It is a super-3 number, since 3×2693565672³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7339233 + ... + 7339599.

It is an arithmetic number, because the mean of its divisors is an integer number (55245540).

Almost surely, 2^2693565672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2693565672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977678880).

2693565672 is an abundant number, since it is smaller than the sum of its proper divisors (5261792088).

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

2693565672 is a wasteful number, since it uses less digits than its factorization.

2693565672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 458 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The square root of 2693565672 is about 51899.5729462199. The cubic root of 2693565672 is about 1391.3696404371.

The spelling of 2693565672 in words is "two billion, six hundred ninety-three million, five hundred sixty-five thousand, six hundred seventy-two".