2449790720 has 288 divisors, whose sum is σ = 6811523712. Its totient is φ = 836960256.

The previous prime is 2449790719. The next prime is 2449790731. The reversal of 2449790720 is 270979442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14160554 + ... + 14160726.

It is an arithmetic number, because the mean of its divisors is an integer number (23651124).

Almost surely, 2^2449790720 is an apocalyptic number.

2449790720 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 2449790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3405761856).

2449790720 is an abundant number, since it is smaller than the sum of its proper divisors (4361732992).

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

2449790720 is a wasteful number, since it uses less digits than its factorization.

2449790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 2449790720 is about 49495.3605906655. The cubic root of 2449790720 is about 1348.0613637180.

The spelling of 2449790720 in words is "two billion, four hundred forty-nine million, seven hundred ninety thousand, seven hundred twenty".