2449530720 has 960 divisors, whose sum is σ = 11146899456. Its totient is φ = 492687360.

The previous prime is 2449530709. The next prime is 2449530763. The reversal of 2449530720 is 270359442.

2449530720 is a `hidden beast` number, since 244 + 95 + 307 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36560127 + ... + 36560193.

Almost surely, 2^2449530720 is an apocalyptic number.

2449530720 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 2449530720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573449728).

2449530720 is an abundant number, since it is smaller than the sum of its proper divisors (8697368736).

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

2449530720 is a wasteful number, since it uses less digits than its factorization.

2449530720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2449530720 is about 49492.7340121760. The cubic root of 2449530720 is about 1348.0136714325.

The spelling of 2449530720 in words is "two billion, four hundred forty-nine million, five hundred thirty thousand, seven hundred twenty".