2439745920 has 320 divisors, whose sum is σ = 9175042800. Its totient is φ = 616108032.

The previous prime is 2439745897. The next prime is 2439745927. The reversal of 2439745920 is 295479342.

2439745920 is a `hidden beast` number, since 24 + 39 + 7 + 4 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2439745927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 983722 + ... + 986198.

Almost surely, 2^2439745920 is an apocalyptic number.

2439745920 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 2439745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587521400).

2439745920 is an abundant number, since it is smaller than the sum of its proper divisors (6735296880).

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

2439745920 is a wasteful number, since it uses less digits than its factorization.

2439745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2439745920 is about 49393.7842243333. The cubic root of 2439745920 is about 1346.2163685238.

The spelling of 2439745920 in words is "two billion, four hundred thirty-nine million, seven hundred forty-five thousand, nine hundred twenty".