2477480 has 32 divisors (see below), whose sum is σ = 5619240. Its totient is φ = 983040.

The previous prime is 2477471. The next prime is 2477521. The reversal of 2477480 is 847742.

2477480 is digitally balanced in base 2, 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 2477476 + 4 = 1574^2 + 2^2 .

It is a super-2 number, since 2×2477480² = 12275814300800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2²¹ + 4² + 7 + 7⁶ + 4⁹ + 8³ + 0 .

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 7 ways as a sum of consecutive naturals, for example, 9512 + ... + 9768.

2^2477480 is an apocalyptic number.

2477480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2477480 is an abundant number, since it is smaller than the sum of its proper divisors (3141760).

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

2477480 is a wasteful number, since it uses less digits than its factorization.

2477480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 2477480 is about 1574.0012706475. The cubic root of 2477480 is about 135.3121264437.

The spelling of 2477480 in words is "two million, four hundred seventy-seven thousand, four hundred eighty".