2797923171456 has 1280 divisors, whose sum is σ = 10482635243520. Its totient is φ = 722409062400.

The previous prime is 2797923171403. The next prime is 2797923171481. The reversal of 2797923171456 is 6541713297972.

2797923171456 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 9 + 2 + 3 + 171 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2797923171393 and 2797923171402.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7305282241 + ... + 7305282623.

It is an arithmetic number, because the mean of its divisors is an integer number (8189558784).

Almost surely, 2^{2797923171456} 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 2797923171456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241317621760).

2797923171456 is an abundant number, since it is smaller than the sum of its proper divisors (7684712072064).

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

2797923171456 is a wasteful number, since it uses less digits than its factorization.

2797923171456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 634 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 2797923171456 in words is "two trillion, seven hundred ninety-seven billion, nine hundred twenty-three million, one hundred seventy-one thousand, four hundred fifty-six".