2897674206768 has 240 divisors, whose sum is σ = 8975293535520. Its totient is φ = 865338163200.

The previous prime is 2897674206733. The next prime is 2897674206769. The reversal of 2897674206768 is 8676024767982.

2897674206768 is a `hidden beast` number, since 2 + 89 + 7 + 6 + 7 + 420 + 67 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2897674206696 and 2897674206705.

It is not an unprimeable number, because it can be changed into a prime (2897674206769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149039928 + ... + 149059368.

It is an arithmetic number, because the mean of its divisors is an integer number (37397056398).

Almost surely, 2^{2897674206768} 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 2897674206768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487646767760).

2897674206768 is an abundant number, since it is smaller than the sum of its proper divisors (6077619328752).

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

2897674206768 is a wasteful number, since it uses less digits than its factorization.

2897674206768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20828 (or 20819 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 2897674206768 in words is "two trillion, eight hundred ninety-seven billion, six hundred seventy-four million, two hundred six thousand, seven hundred sixty-eight".