2449579860 has 384 divisors, whose sum is σ = 9513369600. Its totient is φ = 509483520.

The previous prime is 2449579837. The next prime is 2449579901. The reversal of 2449579860 is 689759442.

2449579860 is a `hidden beast` number, since 2 + 4 + 4 + 9 + 579 + 8 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2449579797 and 2449579806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3881745 + ... + 3882375.

It is an arithmetic number, because the mean of its divisors is an integer number (24774400).

Almost surely, 2^2449579860 is an apocalyptic number.

2449579860 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 2449579860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756684800).

2449579860 is an abundant number, since it is smaller than the sum of its proper divisors (7063789740).

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

2449579860 is a wasteful number, since it uses less digits than its factorization.

2449579860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2449579860 is about 49493.2304461933. The cubic root of 2449579860 is about 1348.0226855331.

The spelling of 2449579860 in words is "two billion, four hundred forty-nine million, five hundred seventy-nine thousand, eight hundred sixty".