2695684824 has 288 divisors, whose sum is σ = 8963136000. Its totient is φ = 728348544.

The previous prime is 2695684813. The next prime is 2695684837. The reversal of 2695684824 is 4284865962.

It is a super-3 number, since 3×2695684824³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11278897 + ... + 11279135.

It is an arithmetic number, because the mean of its divisors is an integer number (31122000).

Almost surely, 2^2695684824 is an apocalyptic number.

2695684824 is a gapful number since it is divisible by the number (24) 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 2695684824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568000).

2695684824 is an abundant number, since it is smaller than the sum of its proper divisors (6267451176).

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

2695684824 is a wasteful number, since it uses less digits than its factorization.

2695684824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 2695684824 is about 51919.9848228021. The cubic root of 2695684824 is about 1391.7344296182.

The spelling of 2695684824 in words is "two billion, six hundred ninety-five million, six hundred eighty-four thousand, eight hundred twenty-four".