2563877340 has 96 divisors (see below), whose sum is σ = 8047287360. Its totient is φ = 677634048.

The previous prime is 2563877333. The next prime is 2563877369. The reversal of 2563877340 is 437783652.

2563877340 is a `hidden beast` number, since 2 + 5 + 638 + 7 + 7 + 3 + 4 + 0 = 666.

2563877340 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40012 + ... + 82028.

It is an arithmetic number, because the mean of its divisors is an integer number (83825910).

Almost surely, 2^2563877340 is an apocalyptic number.

2563877340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563877340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023643680).

2563877340 is an abundant number, since it is smaller than the sum of its proper divisors (5483410020).

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

2563877340 is a wasteful number, since it uses less digits than its factorization.

2563877340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42148 (or 42140 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2563877340 is about 50634.7443955235. The cubic root of 2563877340 is about 1368.6710504284.

The spelling of 2563877340 in words is "two billion, five hundred sixty-three million, eight hundred seventy-seven thousand, three hundred forty".