2965820 has 96 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 921600.

The previous prime is 2965819. The next prime is 2965847. The reversal of 2965820 is 285692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48590 + ... + 48650.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

2^2965820 is an apocalyptic number.

2965820 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 2965820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2965820 is an abundant number, since it is smaller than the sum of its proper divisors (4908676).

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

2965820 is a wasteful number, since it uses less digits than its factorization.

2965820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 2965820 is about 1722.1556259525. The cubic root of 2965820 is about 143.6751292531.

It can be divided in two parts, 296 and 5820, that added together give a palindrome (6116).

The spelling of 2965820 in words is "two million, nine hundred sixty-five thousand, eight hundred twenty".