2449041840 has 480 divisors, whose sum is σ = 10091068416. Its totient is φ = 520058880.

The previous prime is 2449041809. The next prime is 2449041883. The reversal of 2449041840 is 481409442.

2449041840 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2449041795 and 2449041804.

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, 4288755 + ... + 4289325.

Almost surely, 2^2449041840 is an apocalyptic number.

2449041840 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 2449041840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5045534208).

2449041840 is an abundant number, since it is smaller than the sum of its proper divisors (7642026576).

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

2449041840 is a wasteful number, since it uses less digits than its factorization.

2449041840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2449041840 is about 49487.7948589347. The cubic root of 2449041840 is about 1347.9239861218.

The spelling of 2449041840 in words is "two billion, four hundred forty-nine million, forty-one thousand, eight hundred forty".