2545631010 has 128 divisors (see below), whose sum is σ = 7330901760. Its totient is φ = 624872448.

The previous prime is 2545630981. The next prime is 2545631021. The reversal of 2545631010 is 101365452.

2545631010 is a `hidden beast` number, since 25 + 4 + 5 + 631 + 0 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1638394 + ... + 1639946.

It is an arithmetic number, because the mean of its divisors is an integer number (57272670).

Almost surely, 2^2545631010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2545631010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665450880).

2545631010 is an abundant number, since it is smaller than the sum of its proper divisors (4785270750).

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

2545631010 is a wasteful number, since it uses less digits than its factorization.

2545631010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2545631010 is about 50454.2466993612. The cubic root of 2545631010 is about 1365.4165133954.

Adding to 2545631010 its reverse (101365452), we get a palindrome (2646996462).

The spelling of 2545631010 in words is "two billion, five hundred forty-five million, six hundred thirty-one thousand, ten".