2963952 has 50 divisors (see below), whose sum is σ = 8582288. Its totient is φ = 987552.

The previous prime is 2963951. The next prime is 2963953. The reversal of 2963952 is 2593692.

It is an interprime number because it is at equal distance from previous prime (2963951) and next prime (2963953).

It is a super-2 number, since 2×2963952² = 17570022916608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2963951) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 153 + ... + 2439.

2^2963952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2963952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291144).

2963952 is an abundant number, since it is smaller than the sum of its proper divisors (5618336).

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

2963952 is a wasteful number, since it uses less digits than its factorization.

2963952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2292 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 2963952 is about 1721.6131969754. The cubic root of 2963952 is about 143.6449586754.

The spelling of 2963952 in words is "two million, nine hundred sixty-three thousand, nine hundred fifty-two".