2477664 has 72 divisors (see below), whose sum is σ = 8058960. Its totient is φ = 707328.

The previous prime is 2477659. The next prime is 2477681. The reversal of 2477664 is 4667742.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2477664² = 12277637793792, which contains 22 as substring.

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 a d-powerful number, because it can be written as 2 + 4⁹ + 7⁵ + 7⁷ + 6⁶ + 6⁷ + 4¹⁰ .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1402 + ... + 2630.

It is an arithmetic number, because the mean of its divisors is an integer number (111930).

2^2477664 is an apocalyptic number.

2477664 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 2477664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4029480).

2477664 is an abundant number, since it is smaller than the sum of its proper divisors (5581296).

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

2477664 is a wasteful number, since it uses less digits than its factorization.

2477664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1241 counting only the distinct ones).

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

The square root of 2477664 is about 1574.0597193245. The cubic root of 2477664 is about 135.3154761936.

The spelling of 2477664 in words is "two million, four hundred seventy-seven thousand, six hundred sixty-four".