2288954147840 has 176 divisors, whose sum is σ = 5528590003200. Its totient is φ = 909302464512.

The previous prime is 2288954147833. The next prime is 2288954147867. The reversal of 2288954147840 is 487414598822.

It is a happy number.

It is a super-2 number, since 2×2288954147840² (a number of 26 digits) contains 22 as substring.

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, 514716497 + ... + 514720943.

It is an arithmetic number, because the mean of its divisors is an integer number (31412443200).

Almost surely, 2^{2288954147840} is an apocalyptic number.

2288954147840 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 2288954147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764295001600).

2288954147840 is an abundant number, since it is smaller than the sum of its proper divisors (3239635855360).

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

2288954147840 is a wasteful number, since it uses less digits than its factorization.

2288954147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5122 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 62.

The spelling of 2288954147840 in words is "two trillion, two hundred eighty-eight billion, nine hundred fifty-four million, one hundred forty-seven thousand, eight hundred forty".