2472228864 has 240 divisors, whose sum is σ = 8443234800. Its totient is φ = 706019328.

The previous prime is 2472228823. The next prime is 2472228887. The reversal of 2472228864 is 4688222742.

It is a super-2 number, since 2×2472228864² = 12223831111989460992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1160152 + ... + 1162280.

It is an arithmetic number, because the mean of its divisors is an integer number (35180145).

Almost surely, 2^2472228864 is an apocalyptic number.

2472228864 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 2472228864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4221617400).

2472228864 is an abundant number, since it is smaller than the sum of its proper divisors (5971005936).

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

2472228864 is an equidigital number, since it uses as much as digits as its factorization.

2472228864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2141 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 2472228864 is about 49721.5130904119. The cubic root of 2472228864 is about 1352.1645867112.

The spelling of 2472228864 in words is "two billion, four hundred seventy-two million, two hundred twenty-eight thousand, eight hundred sixty-four".