2985376 has 24 divisors (see below), whose sum is σ = 6082020. Its totient is φ = 1440768.

The previous prime is 2985373. The next prime is 2985379. The reversal of 2985376 is 6735892.

It is an interprime number because it is at equal distance from previous prime (2985373) and next prime (2985379).

It can be written as a sum of positive squares in 2 ways, for example, as 2808976 + 176400 = 1676^2 + 420^2 .

It is a super-2 number, since 2×2985376² = 17824939722752, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2¹¹ + 9⁵ + 8⁷ + 5⁵ + 3⁵ + 7⁷ + 6³ .

It is not an unprimeable number, because it can be changed into a prime (2985373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 681 + ... + 2536.

2^2985376 is an apocalyptic number.

It is an amenable number.

2985376 is an abundant number, since it is smaller than the sum of its proper divisors (3096644).

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

2985376 is a wasteful number, since it uses less digits than its factorization.

2985376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3248 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 2985376 is about 1727.8240651177. The cubic root of 2985376 is about 143.9902256740.

It can be divided in two parts, 29853 and 76, that added together give a square (29929 = 173²).

The spelling of 2985376 in words is "two million, nine hundred eighty-five thousand, three hundred seventy-six".