2449494794880 has 640 divisors, whose sum is σ = 10013655041280. Its totient is φ = 558965587968.

The previous prime is 2449494794849. The next prime is 2449494794891. The reversal of 2449494794880 is 884974949442.

2449494794880 is a `hidden beast` number, since 2 + 4 + 49 + 494 + 7 + 94 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2449494794799 and 2449494794808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 234778144 + ... + 234788576.

It is an arithmetic number, because the mean of its divisors is an integer number (15646336002).

Almost surely, 2^{2449494794880} is an apocalyptic number.

2449494794880 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 2449494794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5006827520640).

2449494794880 is an abundant number, since it is smaller than the sum of its proper divisors (7564160246400).

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

2449494794880 is a wasteful number, since it uses less digits than its factorization.

2449494794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11118 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 2449494794880 in words is "two trillion, four hundred forty-nine billion, four hundred ninety-four million, seven hundred ninety-four thousand, eight hundred eighty".