2439198720 has 576 divisors, whose sum is σ = 10221120000. Its totient is φ = 525533184.

The previous prime is 2439198659. The next prime is 2439198731. The reversal of 2439198720 is 278919342.

2439198720 is a `hidden beast` number, since 2 + 439 + 198 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12257181 + ... + 12257379.

It is an arithmetic number, because the mean of its divisors is an integer number (17745000).

Almost surely, 2^2439198720 is an apocalyptic number.

2439198720 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 2439198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560000).

2439198720 is an abundant number, since it is smaller than the sum of its proper divisors (7781921280).

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

2439198720 is a wasteful number, since it uses less digits than its factorization.

2439198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2439198720 is about 49388.2447552047. The cubic root of 2439198720 is about 1346.1157153273.

The spelling of 2439198720 in words is "two billion, four hundred thirty-nine million, one hundred ninety-eight thousand, seven hundred twenty".