2992197761280 has 864 divisors, whose sum is σ = 12756957857280. Its totient is φ = 630569041920.

The previous prime is 2992197761279. The next prime is 2992197761303. The reversal of 2992197761280 is 821677912992.

2992197761280 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 1 + 9 + 7 + 7 + 612 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1584010576 + ... + 1584012464.

It is an arithmetic number, because the mean of its divisors is an integer number (14764997520).

Almost surely, 2^{2992197761280} is an apocalyptic number.

2992197761280 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 2992197761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378478928640).

2992197761280 is an abundant number, since it is smaller than the sum of its proper divisors (9764760096000).

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

2992197761280 is a wasteful number, since it uses less digits than its factorization.

2992197761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 2992197761280 in words is "two trillion, nine hundred ninety-two billion, one hundred ninety-seven million, seven hundred sixty-one thousand, two hundred eighty".