2449920000 has 520 divisors, whose sum is σ = 9211926240. Its totient is φ = 573440000.

The previous prime is 2449919977. The next prime is 2449920013. The reversal of 2449920000 is 299442.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2449920000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 84479986 + ... + 84480014.

Almost surely, 2^2449920000 is an apocalyptic number.

2449920000 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 2449920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605963120).

2449920000 is an abundant number, since it is smaller than the sum of its proper divisors (6762006240).

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

2449920000 is an equidigital number, since it uses as much as digits as its factorization.

2449920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2449920000 is about 49496.6665544257. Note that the first 3 decimals coincide. The cubic root of 2449920000 is about 1348.0850765337.

The spelling of 2449920000 in words is "two billion, four hundred forty-nine million, nine hundred twenty thousand".