2444199264 has 72 divisors (see below), whose sum is σ = 7485371712. Its totient is φ = 752060160.

The previous prime is 2444199223. The next prime is 2444199269. The reversal of 2444199264 is 4629914442.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2444199264² = 11948220084276283392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444199269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 322672 + ... + 330159.

It is an arithmetic number, because the mean of its divisors is an integer number (103963496).

Almost surely, 2^2444199264 is an apocalyptic number.

2444199264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2444199264 is an abundant number, since it is smaller than the sum of its proper divisors (5041172448).

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

2444199264 is a wasteful number, since it uses less digits than its factorization.

2444199264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652860 (or 652849 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 2444199264 is about 49438.8436757981. The cubic root of 2444199264 is about 1347.0349675035.

The spelling of 2444199264 in words is "two billion, four hundred forty-four million, one hundred ninety-nine thousand, two hundred sixty-four".