2942784 has 112 divisors (see below), whose sum is σ = 9387840. Its totient is φ = 898560.

The previous prime is 2942783. The next prime is 2942809. The reversal of 2942784 is 4872492.

It is a super-3 number, since 3×2942784³ = 76453331188691238912, which contains 333 as substring.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 2⁷ + 9⁵ + 4² + 2¹⁹ + 7 + 8⁷ + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2942783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22399 + ... + 22529.

It is an arithmetic number, because the mean of its divisors is an integer number (83820).

2^2942784 is an apocalyptic number.

2942784 is a gapful number since it is divisible by the number (24) 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 2942784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4693920).

2942784 is an abundant number, since it is smaller than the sum of its proper divisors (6445056).

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

2942784 is a wasteful number, since it uses less digits than its factorization.

2942784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 149 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2942784 is about 1715.4544587368. The cubic root of 2942784 is about 143.3021793958.

The spelling of 2942784 in words is "two million, nine hundred forty-two thousand, seven hundred eighty-four".