2254001568000 has 3456 divisors, whose sum is σ = 10259563991040. Its totient is φ = 433520640000.

The previous prime is 2254001567957. The next prime is 2254001568011. The reversal of 2254001568000 is 8651004522.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54975647980 + ... + 54975648020.

It is an arithmetic number, because the mean of its divisors is an integer number (2968623840).

Almost surely, 2^{2254001568000} is an apocalyptic number.

2254001568000 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 2254001568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129781995520).

2254001568000 is an abundant number, since it is smaller than the sum of its proper divisors (8005562423040).

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

2254001568000 is a wasteful number, since it uses less digits than its factorization.

2254001568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 2254001568000 in words is "two trillion, two hundred fifty-four billion, one million, five hundred sixty-eight thousand".