2506062416 has 80 divisors (see below), whose sum is σ = 5730466560. Its totient is φ = 1046684160.

The previous prime is 2506062407. The next prime is 2506062457. The reversal of 2506062416 is 6142606052.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521561 + ... + 526343.

It is an arithmetic number, because the mean of its divisors is an integer number (71630832).

Almost surely, 2^2506062416 is an apocalyptic number.

2506062416 is a gapful number since it is divisible by the number (26) 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 2506062416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865233280).

2506062416 is an abundant number, since it is smaller than the sum of its proper divisors (3224404144).

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

2506062416 is a wasteful number, since it uses less digits than its factorization.

2506062416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2506062416 is about 50060.5874516071. The cubic root of 2506062416 is about 1358.3049846301.

Adding to 2506062416 its reverse (6142606052), we get a palindrome (8648668468).

The spelling of 2506062416 in words is "two billion, five hundred six million, sixty-two thousand, four hundred sixteen".