2682004268657 has 24 divisors (see below), whose sum is σ = 3287081809440. Its totient is φ = 2175882004800.

The previous prime is 2682004268651. The next prime is 2682004268663. The reversal of 2682004268657 is 7568624002862.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2682004268651) and next prime (2682004268663).

It is not a de Polignac number, because 2682004268657 - 2²⁰ = 2682003220081 is a prime.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2682004268651) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291719 + ... + 2334332.

It is an arithmetic number, because the mean of its divisors is an integer number (136961742060).

Almost surely, 2^{2682004268657} is an apocalyptic number.

It is an amenable number.

2682004268657 is a deficient number, since it is larger than the sum of its proper divisors (605077540783).

2682004268657 is a wasteful number, since it uses less digits than its factorization.

2682004268657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627181 (or 2627174 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 56.

The spelling of 2682004268657 in words is "two trillion, six hundred eighty-two billion, four million, two hundred sixty-eight thousand, six hundred fifty-seven".