2506264200 has 192 divisors, whose sum is σ = 9417700800. Its totient is φ = 607564800.

The previous prime is 2506264199. The next prime is 2506264249. The reversal of 2506264200 is 24626052.

It is a super-3 number, since 3×2506264200³ (a number of 29 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38304 + ... + 80496.

It is an arithmetic number, because the mean of its divisors is an integer number (49050525).

Almost surely, 2^2506264200 is an apocalyptic number.

2506264200 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 2506264200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708850400).

2506264200 is an abundant number, since it is smaller than the sum of its proper divisors (6911436600).

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

2506264200 is a wasteful number, since it uses less digits than its factorization.

2506264200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42229 (or 42214 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2506264200 is about 50062.6028088832. The cubic root of 2506264200 is about 1358.3414398084.

The spelling of 2506264200 in words is "two billion, five hundred six million, two hundred sixty-four thousand, two hundred".