2987808768000 has 2400 divisors, whose sum is σ = 13300436717568. Its totient is φ = 652935168000.

The previous prime is 2987808767971. The next prime is 2987808768017. The reversal of 2987808768000 is 8678087892.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35997695959 + ... + 35997696041.

Almost surely, 2^{2987808768000} is an apocalyptic number.

2987808768000 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 2987808768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650218358784).

2987808768000 is an abundant number, since it is smaller than the sum of its proper divisors (10312627949568).

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

2987808768000 is an frugal number, since it uses more digits than its factorization.

2987808768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 2987808768000 in words is "two trillion, nine hundred eighty-seven billion, eight hundred eight million, seven hundred sixty-eight thousand".