2563405140 has 96 divisors (see below), whose sum is σ = 7759624320. Its totient is φ = 630084096.

The previous prime is 2563405127. The next prime is 2563405151. The reversal of 2563405140 is 415043652.

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 = 2563405098 and 2563405107.

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, 11794 + ... + 72566.

It is an arithmetic number, because the mean of its divisors is an integer number (80829420).

Almost surely, 2^2563405140 is an apocalyptic number.

2563405140 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 2563405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3879812160).

2563405140 is an abundant number, since it is smaller than the sum of its proper divisors (5196219180).

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

2563405140 is a wasteful number, since it uses less digits than its factorization.

2563405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60841 (or 60839 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2563405140 is about 50630.0813746136. The cubic root of 2563405140 is about 1368.5870206479.

Adding to 2563405140 its reverse (415043652), we get a palindrome (2978448792).

The spelling of 2563405140 in words is "two billion, five hundred sixty-three million, four hundred five thousand, one hundred forty".