2677478952 has 64 divisors (see below), whose sum is σ = 6935705280. Its totient is φ = 860654592.

The previous prime is 2677478899. The next prime is 2677478977. The reversal of 2677478952 is 2598747762.

2677478952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2677478892 and 2677478901.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87003 + ... + 113685.

It is an arithmetic number, because the mean of its divisors is an integer number (108370395).

Almost surely, 2^2677478952 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 2677478952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467852640).

2677478952 is an abundant number, since it is smaller than the sum of its proper divisors (4258226328).

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

2677478952 is a wasteful number, since it uses less digits than its factorization.

2677478952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26842 (or 26838 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 57.

The square root of 2677478952 is about 51744.3615479020. The cubic root of 2677478952 is about 1388.5942263212.

The spelling of 2677478952 in words is "two billion, six hundred seventy-seven million, four hundred seventy-eight thousand, nine hundred fifty-two".