2254124182160 has 80 divisors (see below), whose sum is σ = 5275899456240. Its totient is φ = 895635947520.

The previous prime is 2254124182153. The next prime is 2254124182217. The reversal of 2254124182160 is 612814214522.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 113684957584 + 2140439224576 = 337172^2 + 1463024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7790480 + ... + 8074640.

It is an arithmetic number, because the mean of its divisors is an integer number (65948743203).

Almost surely, 2^{2254124182160} is an apocalyptic number.

2254124182160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254124182160 is an abundant number, since it is smaller than the sum of its proper divisors (3021775274080).

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

2254124182160 is a wasteful number, since it uses less digits than its factorization.

2254124182160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284836 (or 284830 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

Adding to 2254124182160 its reverse (612814214522), we get a palindrome (2866938396682).

The spelling of 2254124182160 in words is "two trillion, two hundred fifty-four billion, one hundred twenty-four million, one hundred eighty-two thousand, one hundred sixty".