2259140173824 has 112 divisors (see below), whose sum is σ = 6060089000448. Its totient is φ = 748536102912.

The previous prime is 2259140173783. The next prime is 2259140173853. The reversal of 2259140173824 is 4283710419522.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3828969 + ... + 4379415.

It is an arithmetic number, because the mean of its divisors is an integer number (54107937504).

Almost surely, 2^{2259140173824} is an apocalyptic number.

2259140173824 is a gapful number since it is divisible by the number (24) 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 2259140173824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030044500224).

2259140173824 is an abundant number, since it is smaller than the sum of its proper divisors (3800948826624).

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

2259140173824 is an equidigital number, since it uses as much as digits as its factorization.

2259140173824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550643 (or 550619 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 2259140173824 in words is "two trillion, two hundred fifty-nine billion, one hundred forty million, one hundred seventy-three thousand, eight hundred twenty-four".