2506463000 has 128 divisors (see below), whose sum is σ = 6344282880. Its totient is φ = 923238400.

The previous prime is 2506462979. The next prime is 2506463009. The reversal of 2506463000 is 3646052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506463009) 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, 797432 + ... + 800568.

It is an arithmetic number, because the mean of its divisors is an integer number (49564710).

Almost surely, 2^2506463000 is an apocalyptic number.

2506463000 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 2506463000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172141440).

2506463000 is an abundant number, since it is smaller than the sum of its proper divisors (3837819880).

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

2506463000 is a wasteful number, since it uses less digits than its factorization.

2506463000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2506463000 is about 50064.5882835363. The cubic root of 2506463000 is about 1358.3773539708.

The spelling of 2506463000 in words is "two billion, five hundred six million, four hundred sixty-three thousand".