2949264 has 40 divisors (see below), whose sum is σ = 8466720. Its totient is φ = 982944.

The previous prime is 2949263. The next prime is 2949277. The reversal of 2949264 is 4629492.

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2¹⁹ + 9⁴ + 4³ + 9⁵ + 2²¹ + 6 + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (2949263) 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, 2982 + ... + 3845.

It is an arithmetic number, because the mean of its divisors is an integer number (211668).

2^2949264 is an apocalyptic number.

2949264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2949264 is an abundant number, since it is smaller than the sum of its proper divisors (5517456).

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

2949264 is a wasteful number, since it uses less digits than its factorization.

2949264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 6832 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2949264 is about 1717.3421324826. The cubic root of 2949264 is about 143.4072859168.

The spelling of 2949264 in words is "two million, nine hundred forty-nine thousand, two hundred sixty-four".