2852640 has 144 divisors (see below), whose sum is σ = 11164608. Its totient is φ = 649728.

The previous prime is 2852609. The next prime is 2852669. The reversal of 2852640 is 462582.

2852640 = T₂₆₆ + T₂₆₇ + ... + T₃₂₉.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9939 + ... + 10221.

It is an arithmetic number, because the mean of its divisors is an integer number (77532).

2^2852640 is an apocalyptic number.

2852640 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 2852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582304).

2852640 is an abundant number, since it is smaller than the sum of its proper divisors (8311968).

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

2852640 is a wasteful number, since it uses less digits than its factorization.

2852640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2852640 is about 1688.9760211442. The cubic root of 2852640 is about 141.8237580737.

The spelling of 2852640 in words is "two million, eight hundred fifty-two thousand, six hundred forty".