2695680000 has 650 divisors, whose sum is σ = 10836807674. Its totient is φ = 663552000.

The previous prime is 2695679957. The next prime is 2695680041. The reversal of 2695680000 is 865962.

It can be written as a sum of positive squares in 5 ways, for example, as 1579585536 + 1116094464 = 39744^2 + 33408^2 .

It is a tau number, because it is divible by the number of its divisors (650).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 207359994 + ... + 207360006.

Almost surely, 2^2695680000 is an apocalyptic number.

2695680000 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 2695680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418403837).

2695680000 is an abundant number, since it is smaller than the sum of its proper divisors (8141127674).

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

2695680000 is an frugal number, since it uses more digits than its factorization.

2695680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2695680000 is about 51919.9383666814. The cubic root of 2695680000 is about 1391.7335994358.

The spelling of 2695680000 in words is "two billion, six hundred ninety-five million, six hundred eighty thousand".