2449948999680 has 2176 divisors, whose sum is σ = 11415130675200. Its totient is φ = 483787800576.

The previous prime is 2449948999571. The next prime is 2449948999711. The reversal of 2449948999680 is 869998499442.

2449948999680 is a `hidden beast` number, since 2 + 4 + 49 + 9 + 489 + 9 + 96 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2176).

It is a self number, because there is not a number n which added to its sum of digits gives 2449948999680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13686865831 + ... + 13686866009.

Almost surely, 2^{2449948999680} is an apocalyptic number.

2449948999680 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 2449948999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5707565337600).

2449948999680 is an abundant number, since it is smaller than the sum of its proper divisors (8965181675520).

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

2449948999680 is a wasteful number, since it uses less digits than its factorization.

2449948999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2902376448, while the sum is 81.

The spelling of 2449948999680 in words is "two trillion, four hundred forty-nine billion, nine hundred forty-eight million, nine hundred ninety-nine thousand, six hundred eighty".