2449152720 has 320 divisors, whose sum is σ = 9867939840. Its totient is φ = 546642432.

The previous prime is 2449152703. The next prime is 2449152731. The reversal of 2449152720 is 272519442.

2449152720 is a `hidden beast` number, since 2 + 44 + 91 + 527 + 2 + 0 = 666.

2449152720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 648277 + ... + 652043.

It is an arithmetic number, because the mean of its divisors is an integer number (30837312).

Almost surely, 2^2449152720 is an apocalyptic number.

2449152720 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 2449152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933969920).

2449152720 is an abundant number, since it is smaller than the sum of its proper divisors (7418787120).

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

2449152720 is a wasteful number, since it uses less digits than its factorization.

2449152720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2449152720 is about 49488.9151224797. The cubic root of 2449152720 is about 1347.9443281666.

The spelling of 2449152720 in words is "two billion, four hundred forty-nine million, one hundred fifty-two thousand, seven hundred twenty".