2987712000 has 1280 divisors, whose sum is σ = 14299084800. Its totient is φ = 597196800.

The previous prime is 2987711911. The next prime is 2987712023. The reversal of 2987712000 is 2177892.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 2987712000 = 120³ + 1440³ = 1080³ + 1200³.

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, 157247991 + ... + 157248009.

It is an arithmetic number, because the mean of its divisors is an integer number (11171160).

Almost surely, 2^2987712000 is an apocalyptic number.

2987712000 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 2987712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149542400).

2987712000 is an abundant number, since it is smaller than the sum of its proper divisors (11311372800).

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

2987712000 is a wasteful number, since it uses less digits than its factorization.

2987712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 2987712000 is about 54659.9670691449. The cubic root of 2987712000 is about 1440.2777242113.

Adding to 2987712000 its reverse (2177892), we get a palindrome (2989889892).

The spelling of 2987712000 in words is "two billion, nine hundred eighty-seven million, seven hundred twelve thousand".