2677464 has 48 divisors (see below), whose sum is σ = 7436520. Its totient is φ = 869760.

The previous prime is 2677447. The next prime is 2677471. The reversal of 2677464 is 4647762.

2677464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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, 2499 + ... + 3405.

2^2677464 is an apocalyptic number.

2677464 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 2677464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718260).

2677464 is an abundant number, since it is smaller than the sum of its proper divisors (4759056).

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

2677464 is a wasteful number, since it uses less digits than its factorization.

2677464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 953 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 2677464 is about 1636.2958167764. The cubic root of 2677464 is about 138.8591641514.

The spelling of 2677464 in words is "two million, six hundred seventy-seven thousand, four hundred sixty-four".