2439720000 has 420 divisors, whose sum is σ = 9098225136. Its totient is φ = 648000000.

The previous prime is 2439719983. The next prime is 2439720037. The reversal of 2439720000 is 279342.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9719875 + ... + 9720125.

Almost surely, 2^2439720000 is an apocalyptic number.

2439720000 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 2439720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549112568).

2439720000 is an abundant number, since it is smaller than the sum of its proper divisors (6658505136).

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

2439720000 is an frugal number, since it uses more digits than its factorization.

2439720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2439720000 is about 49393.5218424441. The cubic root of 2439720000 is about 1346.2116010804.

Adding to 2439720000 its reverse (279342), we get a palindrome (2439999342).

It can be divided in two parts, 243 and 9720000, that multiplied together give a square (2361960000 = 48600²).

The spelling of 2439720000 in words is "two billion, four hundred thirty-nine million, seven hundred twenty thousand".