2449046880 has 384 divisors, whose sum is σ = 9899366400. Its totient is φ = 553900032.

The previous prime is 2449046869. The next prime is 2449046893. The reversal of 2449046880 is 886409442.

2449046880 is a `hidden beast` number, since 24 + 4 + 90 + 468 + 80 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3295789 + ... + 3296531.

It is an arithmetic number, because the mean of its divisors is an integer number (25779600).

Almost surely, 2^2449046880 is an apocalyptic number.

2449046880 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 2449046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200).

2449046880 is an abundant number, since it is smaller than the sum of its proper divisors (7450319520).

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

2449046880 is a wasteful number, since it uses less digits than its factorization.

2449046880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 2449046880 is about 49487.8457805550. The cubic root of 2449046880 is about 1347.9249107735.

The spelling of 2449046880 in words is "two billion, four hundred forty-nine million, forty-six thousand, eight hundred eighty".