2449648640000 has 560 divisors, whose sum is σ = 6414143979408. Its totient is φ = 934281216000.

The previous prime is 2449648639993. The next prime is 2449648640081. The reversal of 2449648640000 is 468469442.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12692479904 + ... + 12692480096.

Almost surely, 2^{2449648640000} is an apocalyptic number.

2449648640000 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 2449648640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3207071989704).

2449648640000 is an abundant number, since it is smaller than the sum of its proper divisors (3964495339408).

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

2449648640000 is an frugal number, since it uses more digits than its factorization.

2449648640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 47.

The spelling of 2449648640000 in words is "two trillion, four hundred forty-nine billion, six hundred forty-eight million, six hundred forty thousand".