2449512480096 has 672 divisors, whose sum is σ = 8258743535616. Its totient is φ = 708051456000.

The previous prime is 2449512480029. The next prime is 2449512480097. The reversal of 2449512480096 is 6900842159442.

2449512480096 is a `hidden beast` number, since 2 + 4 + 49 + 512 + 4 + 80 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×2449512480096² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2449512480097) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 564792040 + ... + 564796376.

It is an arithmetic number, because the mean of its divisors is an integer number (12289796928).

Almost surely, 2^{2449512480096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2449512480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129371767808).

2449512480096 is an abundant number, since it is smaller than the sum of its proper divisors (5809231055520).

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

2449512480096 is a wasteful number, since it uses less digits than its factorization.

2449512480096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2449512480096 in words is "two trillion, four hundred forty-nine billion, five hundred twelve million, four hundred eighty thousand, ninety-six".