2877264 has 120 divisors (see below), whose sum is σ = 9140040. Its totient is φ = 838656.

The previous prime is 2877263. The next prime is 2877271. The reversal of 2877264 is 4627782.

2877264 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 291600 + 2585664 = 540^2 + 1608^2 .

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 (2877263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54262 + ... + 54314.

It is an arithmetic number, because the mean of its divisors is an integer number (76167).

2^2877264 is an apocalyptic number.

2877264 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 2877264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570020).

2877264 is an abundant number, since it is smaller than the sum of its proper divisors (6262776).

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

2877264 is a wasteful number, since it uses less digits than its factorization.

2877264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 100 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2877264 is about 1696.2499815770. The cubic root of 2877264 is about 142.2306639231.

It can be divided in two parts, 2877 and 264, that multiplied together give a triangular number (759528 = T₁₂₃₂).

The spelling of 2877264 in words is "two million, eight hundred seventy-seven thousand, two hundred sixty-four".