2987482449600 has 3024 divisors, whose sum is σ = 13174136801280. Its totient is φ = 638668800000.

The previous prime is 2987482449577. The next prime is 2987482449649. The reversal of 2987482449600 is 69442847892.

2987482449600 is a `hidden beast` number, since 2 + 9 + 87 + 48 + 24 + 496 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 42077217565 + ... + 42077217635.

It is an arithmetic number, because the mean of its divisors is an integer number (4356526720).

Almost surely, 2^{2987482449600} is an apocalyptic number.

2987482449600 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 2987482449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6587068400640).

2987482449600 is an abundant number, since it is smaller than the sum of its proper divisors (10186654351680).

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

2987482449600 is a wasteful number, since it uses less digits than its factorization.

2987482449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 2987482449600 in words is "two trillion, nine hundred eighty-seven billion, four hundred eighty-two million, four hundred forty-nine thousand, six hundred".