2563136040 has 128 divisors (see below), whose sum is σ = 7838208000. Its totient is φ = 670395648.

The previous prime is 2563136027. The next prime is 2563136047. The reversal of 2563136040 is 406313652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2563135989 and 2563136007.

It is not an unprimeable number, because it can be changed into a prime (2563136047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1582351 + ... + 1583969.

It is an arithmetic number, because the mean of its divisors is an integer number (61236000).

Almost surely, 2^2563136040 is an apocalyptic number.

2563136040 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 2563136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919104000).

2563136040 is an abundant number, since it is smaller than the sum of its proper divisors (5275071960).

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

2563136040 is a wasteful number, since it uses less digits than its factorization.

2563136040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1879 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 2563136040 is about 50627.4237938294. The cubic root of 2563136040 is about 1368.5391286663.

Adding to 2563136040 its reverse (406313652), we get a palindrome (2969449692).

The spelling of 2563136040 in words is "two billion, five hundred sixty-three million, one hundred thirty-six thousand, forty".