2697111648 has 384 divisors, whose sum is σ = 9963233280. Its totient is φ = 689472000.

The previous prime is 2697111607. The next prime is 2697111649. The reversal of 2697111648 is 8461117962.

It is a super-2 number, since 2×2697111648² = 14548822483554551808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2697111649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4723203 + ... + 4723773.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2^2697111648 is an apocalyptic number.

2697111648 is a gapful number since it is divisible by the number (28) 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 2697111648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981616640).

2697111648 is an abundant number, since it is smaller than the sum of its proper divisors (7266121632).

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

2697111648 is a wasteful number, since it uses less digits than its factorization.

2697111648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 665 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 2697111648 is about 51933.7236100012. The cubic root of 2697111648 is about 1391.9799343124.

The spelling of 2697111648 in words is "two billion, six hundred ninety-seven million, one hundred eleven thousand, six hundred forty-eight".