2506416352 has 96 divisors (see below), whose sum is σ = 5947893504. Its totient is φ = 1025587200.

The previous prime is 2506416349. The next prime is 2506416391. The reversal of 2506416352 is 2536146052.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128527 + ... + 146737.

It is an arithmetic number, because the mean of its divisors is an integer number (61957224).

Almost surely, 2^2506416352 is an apocalyptic number.

2506416352 is a gapful number since it is divisible by the number (22) 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 2506416352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973946752).

2506416352 is an abundant number, since it is smaller than the sum of its proper divisors (3441477152).

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

2506416352 is a wasteful number, since it uses less digits than its factorization.

2506416352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18272 (or 18264 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 2506416352 is about 50064.1224031741. The cubic root of 2506416352 is about 1358.3689269590.

The spelling of 2506416352 in words is "two billion, five hundred six million, four hundred sixteen thousand, three hundred fifty-two".