2987712 has 224 divisors, whose sum is σ = 11379200. Its totient is φ = 746496.

The previous prime is 2987707. The next prime is 2987729. The reversal of 2987712 is 2177892.

2987712 = T₂₇₃ + T₂₇₄ + ... + T₃₃₆.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 2987712 = 12³ + 144³ = 108³ + 120³.

It is a nialpdrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157239 + ... + 157257.

It is an arithmetic number, because the mean of its divisors is an integer number (50800).

2^2987712 is an apocalyptic number.

It is a pronic number, being equal to 1728×1729.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2987712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689600).

2987712 is an abundant number, since it is smaller than the sum of its proper divisors (8391488).

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

2987712 is a wasteful number, since it uses less digits than its factorization.

2987712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 44 counting only the distinct ones).

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

The square root of 2987712 is about 1728.4999276830. The cubic root of 2987712 is about 144.0277724211.

The spelling of 2987712 in words is "two million, nine hundred eighty-seven thousand, seven hundred twelve".