2477952 has 80 divisors (see below), whose sum is σ = 7405200. Its totient is φ = 822528.

The previous prime is 2477947. The next prime is 2477957. The reversal of 2477952 is 2597742.

It is an interprime number because it is at equal distance from previous prime (2477947) and next prime (2477957).

It is a super-2 number, since 2×2477952² = 12280492228608, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 2⁹ + 4 + 7 + 7 + 9 + 5⁹ + 2¹⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2477957) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10249 + ... + 10487.

It is an arithmetic number, because the mean of its divisors is an integer number (92565).

2^2477952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2477952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702600).

2477952 is an abundant number, since it is smaller than the sum of its proper divisors (4927248).

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

2477952 is an equidigital number, since it uses as much as digits as its factorization.

2477952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 244 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 2477952 is about 1574.1511998534. The cubic root of 2477952 is about 135.3207189474.

The spelling of 2477952 in words is "two million, four hundred seventy-seven thousand, nine hundred fifty-two".