2842929122400 has 1008 divisors, whose sum is σ = 10600226073360. Its totient is φ = 744107212800.

The previous prime is 2842929122377. The next prime is 2842929122459. The reversal of 2842929122400 is 42219292482.

2842929122400 is a `hidden beast` number, since 2 + 84 + 29 + 29 + 122 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11796386280 + ... + 11796386520.

It is an arithmetic number, because the mean of its divisors is an integer number (10516097295).

Almost surely, 2^{2842929122400} is an apocalyptic number.

2842929122400 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 2842929122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300113036680).

2842929122400 is an abundant number, since it is smaller than the sum of its proper divisors (7757296950960).

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

2842929122400 is a wasteful number, since it uses less digits than its factorization.

2842929122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2842929122400 in words is "two trillion, eight hundred forty-two billion, nine hundred twenty-nine million, one hundred twenty-two thousand, four hundred".