2953820 has 24 divisors (see below), whose sum is σ = 6262704. Its totient is φ = 1170176.

The previous prime is 2953817. The next prime is 2953823. The reversal of 2953820 is 283592.

2953820 = 252² + 253² + ... + 291².

It is an interprime number because it is at equal distance from previous prime (2953817) and next prime (2953823).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2953823) 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, 1607 + ... + 2913.

It is an arithmetic number, because the mean of its divisors is an integer number (260946).

2^2953820 is an apocalyptic number.

2953820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2953820 is an abundant number, since it is smaller than the sum of its proper divisors (3308884).

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

2953820 is a wasteful number, since it uses less digits than its factorization.

2953820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 2953820 is about 1718.6680889573. The cubic root of 2953820 is about 143.4810927430.

It can be divided in two parts, 2953 and 820, that added together give a palindrome (3773).

The spelling of 2953820 in words is "two million, nine hundred fifty-three thousand, eight hundred twenty".