2697995664 has 360 divisors, whose sum is σ = 9622092480. Its totient is φ = 699342336.

The previous prime is 2697995647. The next prime is 2697995683. The reversal of 2697995664 is 4665997962.

2697995664 is a `hidden beast` number, since 2 + 69 + 7 + 9 + 9 + 566 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6145557 + ... + 6145995.

Almost surely, 2^2697995664 is an apocalyptic number.

2697995664 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 2697995664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811046240).

2697995664 is an abundant number, since it is smaller than the sum of its proper divisors (6924096816).

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

2697995664 is a wasteful number, since it uses less digits than its factorization.

2697995664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 2697995664 is about 51942.2339142244. The cubic root of 2697995664 is about 1392.1319979861.

The spelling of 2697995664 in words is "two billion, six hundred ninety-seven million, nine hundred ninety-five thousand, six hundred sixty-four".