2776412952 has 96 divisors (see below), whose sum is σ = 7739297280. Its totient is φ = 898722240.

The previous prime is 2776412941. The next prime is 2776412957. The reversal of 2776412952 is 2592146772.

2776412952 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2776412898 and 2776412907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2776412957) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 440173 + ... + 446435.

It is an arithmetic number, because the mean of its divisors is an integer number (80617680).

Almost surely, 2^2776412952 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 2776412952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869648640).

2776412952 is an abundant number, since it is smaller than the sum of its proper divisors (4962884328).

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

2776412952 is a wasteful number, since it uses less digits than its factorization.

2776412952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6446 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2776412952 is about 52691.6782044376. The cubic root of 2776412952 is about 1405.4908433908.

The spelling of 2776412952 in words is "two billion, seven hundred seventy-six million, four hundred twelve thousand, nine hundred fifty-two".