2697722040096 has 144 divisors (see below), whose sum is σ = 7979574290688. Its totient is φ = 863589542400.

The previous prime is 2697722040077. The next prime is 2697722040119. The reversal of 2697722040096 is 6900402277962.

2697722040096 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 7 + 220 + 400 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16270 + ... + 2322866.

It is an arithmetic number, because the mean of its divisors is an integer number (55413710352).

Almost surely, 2^{2697722040096} 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 2697722040096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3989787145344).

2697722040096 is an abundant number, since it is smaller than the sum of its proper divisors (5281852250592).

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

2697722040096 is a wasteful number, since it uses less digits than its factorization.

2697722040096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306775 (or 2306764 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 2697722040096 in words is "two trillion, six hundred ninety-seven billion, seven hundred twenty-two million, forty thousand, ninety-six".