2449349280 has 960 divisors, whose sum is σ = 10977120000. Its totient is φ = 512096256.

The previous prime is 2449349257. The next prime is 2449349291. The reversal of 2449349280 is 829439442.

It is a happy number.

2449349280 is a `hidden beast` number, since 24 + 4 + 9 + 349 + 280 = 666.

It is a super-4 number, since 4×2449349280⁴ (a number of 39 digits) contains 4444 as substring.

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

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, 84460306 + ... + 84460334.

It is an arithmetic number, because the mean of its divisors is an integer number (11434500).

Almost surely, 2^2449349280 is an apocalyptic number.

2449349280 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 2449349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560000).

2449349280 is an abundant number, since it is smaller than the sum of its proper divisors (8527770720).

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

2449349280 is a wasteful number, since it uses less digits than its factorization.

2449349280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2449349280 is about 49490.9009818977. The cubic root of 2449349280 is about 1347.9803875552.

The spelling of 2449349280 in words is "two billion, four hundred forty-nine million, three hundred forty-nine thousand, two hundred eighty".