2797964474760 has 1024 divisors, whose sum is σ = 11822943283200. Its totient is φ = 572735619072.

The previous prime is 2797964474749. The next prime is 2797964474761. The reversal of 2797964474760 is 674744697972.

2797964474760 is a `hidden beast` number, since 2 + 7 + 9 + 7 + 96 + 4 + 474 + 7 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2797964474761) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1574542992 + ... + 1574544768.

It is an arithmetic number, because the mean of its divisors is an integer number (11545843050).

Almost surely, 2^{2797964474760} is an apocalyptic number.

2797964474760 is a gapful number since it is divisible by the number (20) 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 2797964474760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911471641600).

2797964474760 is an abundant number, since it is smaller than the sum of its proper divisors (9024978808440).

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

2797964474760 is a wasteful number, since it uses less digits than its factorization.

2797964474760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 896168448, while the sum is 72.

The spelling of 2797964474760 in words is "two trillion, seven hundred ninety-seven billion, nine hundred sixty-four million, four hundred seventy-four thousand, seven hundred sixty".