2254162234400 has 144 divisors (see below), whose sum is σ = 5831486136000. Its totient is φ = 848475048960.

The previous prime is 2254162234361. The next prime is 2254162234439. The reversal of 2254162234400 is 44322614522.

It is an interprime number because it is at equal distance from previous prime (2254162234361) and next prime (2254162234439).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1767149 + ... + 2762451.

It is an arithmetic number, because the mean of its divisors is an integer number (40496431500).

Almost surely, 2^{2254162234400} is an apocalyptic number.

2254162234400 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 2254162234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915743068000).

2254162234400 is an abundant number, since it is smaller than the sum of its proper divisors (3577323901600).

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

2254162234400 is a wasteful number, since it uses less digits than its factorization.

2254162234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995491 (or 995478 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 2254162234400 its reverse (44322614522), we get a palindrome (2298484848922).

The spelling of 2254162234400 in words is "two trillion, two hundred fifty-four billion, one hundred sixty-two million, two hundred thirty-four thousand, four hundred".