2449259904 has 768 divisors, whose sum is σ = 9376819200. Its totient is φ = 557383680.

The previous prime is 2449259899. The next prime is 2449259929. The reversal of 2449259904 is 4099529442.

2449259904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79008369 + ... + 79008399.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^2449259904 is an apocalyptic number.

2449259904 is a gapful number since it is divisible by the number (24) 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 2449259904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

2449259904 is an abundant number, since it is smaller than the sum of its proper divisors (6927559296).

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

2449259904 is a wasteful number, since it uses less digits than its factorization.

2449259904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 2449259904 is about 49489.9980198019. The cubic root of 2449259904 is about 1347.9639915596.

The spelling of 2449259904 in words is "two billion, four hundred forty-nine million, two hundred fifty-nine thousand, nine hundred four".