2958264 has 48 divisors (see below), whose sum is σ = 8091720. Its totient is φ = 976320.

The previous prime is 2958259. The next prime is 2958269. The reversal of 2958264 is 4628592.

It is a happy number.

2958264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2958259) and next prime (2958269).

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

It is a d-powerful number, because it can be written as 2¹⁸ + 9⁵ + 5⁶ + 8⁶ + 2²¹ + 6 + 4⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12919 + ... + 13145.

2^2958264 is an apocalyptic number.

2958264 is a gapful number since it is divisible by the number (24) 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 2958264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4045860).

2958264 is an abundant number, since it is smaller than the sum of its proper divisors (5133456).

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

2958264 is a wasteful number, since it uses less digits than its factorization.

2958264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2958264 is about 1719.9604646619. The cubic root of 2958264 is about 143.5530120964.

It can be divided in two parts, 29582 and 64, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 2958264 in words is "two million, nine hundred fifty-eight thousand, two hundred sixty-four".