2506421016 has 128 divisors (see below), whose sum is σ = 7613510400. Its totient is φ = 757693440.

The previous prime is 2506421011. The next prime is 2506421017. The reversal of 2506421016 is 6101246052.

2506421016 is a `hidden beast` number, since 2 + 5 + 0 + 642 + 1 + 0 + 16 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506421011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1241640 + ... + 1243656.

It is an arithmetic number, because the mean of its divisors is an integer number (59480550).

Almost surely, 2^2506421016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2506421016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806755200).

2506421016 is an abundant number, since it is smaller than the sum of its proper divisors (5107089384).

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

2506421016 is a wasteful number, since it uses less digits than its factorization.

2506421016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2506421016 is about 50064.1689834157. The cubic root of 2506421016 is about 1358.3697695204.

Adding to 2506421016 its reverse (6101246052), we get a palindrome (8607667068).

The spelling of 2506421016 in words is "two billion, five hundred six million, four hundred twenty-one thousand, sixteen".