2506010540 has 144 divisors (see below), whose sum is σ = 6117170976. Its totient is φ = 854937600.

The previous prime is 2506010537. The next prime is 2506010621. The reversal of 2506010540 is 450106052.

It is a Harshad number since it is a multiple of its sum of digits (23).

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 47 ways as a sum of consecutive naturals, for example, 7099004 + ... + 7099356.

It is an arithmetic number, because the mean of its divisors is an integer number (42480354).

Almost surely, 2^2506010540 is an apocalyptic number.

2506010540 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 2506010540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058585488).

2506010540 is an abundant number, since it is smaller than the sum of its proper divisors (3611160436).

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

2506010540 is a wasteful number, since it uses less digits than its factorization.

2506010540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 2506010540 is about 50060.0693167718. The cubic root of 2506010540 is about 1358.2956121692.

Adding to 2506010540 its reverse (450106052), we get a palindrome (2956116592).

The spelling of 2506010540 in words is "two billion, five hundred six million, ten thousand, five hundred forty".