2892414648720 has 320 divisors, whose sum is σ = 9978021365760. Its totient is φ = 689378156544.

The previous prime is 2892414648707. The next prime is 2892414648779. The reversal of 2892414648720 is 278464142982.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12932887 + ... + 13154633.

It is an arithmetic number, because the mean of its divisors is an integer number (31181316768).

Almost surely, 2^{2892414648720} is an apocalyptic number.

2892414648720 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 2892414648720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989010682880).

2892414648720 is an abundant number, since it is smaller than the sum of its proper divisors (7085606717040).

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

2892414648720 is a wasteful number, since it uses less digits than its factorization.

2892414648720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221942 (or 221936 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 2892414648720 in words is "two trillion, eight hundred ninety-two billion, four hundred fourteen million, six hundred forty-eight thousand, seven hundred twenty".