2902016 has 48 divisors (see below), whose sum is σ = 6306300. Its totient is φ = 1327104.

The previous prime is 2901989. The next prime is 2902049. The reversal of 2902016 is 6102092.

It can be written as a sum of positive squares in 2 ways, for example, as 2876416 + 25600 = 1696^2 + 160^2 .

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26570 + ... + 26678.

2^2902016 is an apocalyptic number.

2902016 is a gapful number since it is divisible by the number (26) 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 2902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153150).

2902016 is an abundant number, since it is smaller than the sum of its proper divisors (3404284).

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

2902016 is a wasteful number, since it uses less digits than its factorization.

2902016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2902016 is about 1703.5304517384. The cubic root of 2902016 is about 142.6373519218.

The spelling of 2902016 in words is "two million, nine hundred two thousand, sixteen".