2427876336 has 80 divisors (see below), whose sum is σ = 6437088000. Its totient is φ = 788067840.

The previous prime is 2427876329. The next prime is 2427876337. The reversal of 2427876336 is 6336787242.

2427876336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2427876337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1618915 + ... + 1620413.

It is an arithmetic number, because the mean of its divisors is an integer number (80463600).

Almost surely, 2^2427876336 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 2427876336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218544000).

2427876336 is an abundant number, since it is smaller than the sum of its proper divisors (4009211664).

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

2427876336 is a wasteful number, since it uses less digits than its factorization.

2427876336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2368 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 48.

The square root of 2427876336 is about 49273.4851213104. The cubic root of 2427876336 is about 1344.0296638152.

The spelling of 2427876336 in words is "two billion, four hundred twenty-seven million, eight hundred seventy-six thousand, three hundred thirty-six".