2722298741400 has 192 divisors, whose sum is σ = 9684738708480. Its totient is φ = 619657574400.

The previous prime is 2722298741341. The next prime is 2722298741429. The reversal of 2722298741400 is 41478922272.

It is a self number, because there is not a number n which added to its sum of digits gives 2722298741400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332544 + ... + 2356943.

It is an arithmetic number, because the mean of its divisors is an integer number (50441347440).

Almost surely, 2^{2722298741400} is an apocalyptic number.

2722298741400 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 2722298741400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4842369354240).

2722298741400 is an abundant number, since it is smaller than the sum of its proper divisors (6962439967080).

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

2722298741400 is a wasteful number, since it uses less digits than its factorization.

2722298741400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689754 (or 2689745 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 2722298741400 in words is "two trillion, seven hundred twenty-two billion, two hundred ninety-eight million, seven hundred forty-one thousand, four hundred".