2965840 has 40 divisors (see below), whose sum is σ = 6972768. Its totient is φ = 1173120.

The previous prime is 2965819. The next prime is 2965847. The reversal of 2965840 is 485692.

It is a happy number.

2965840 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2965796 and 2965805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2965847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10339 + ... + 10621.

2^2965840 is an apocalyptic number.

2965840 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 2965840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486384).

2965840 is an abundant number, since it is smaller than the sum of its proper divisors (4006928).

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

2965840 is a wasteful number, since it uses less digits than its factorization.

2965840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 2965840 is about 1722.1614326189. The cubic root of 2965840 is about 143.6754522100.

The spelling of 2965840 in words is "two million, nine hundred sixty-five thousand, eight hundred forty".