2506085400 has 576 divisors, whose sum is σ = 9974361600. Its totient is φ = 515773440.

The previous prime is 2506085377. The next prime is 2506085429. The reversal of 2506085400 is 45806052.

2506085400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30193759 + ... + 30193841.

It is an arithmetic number, because the mean of its divisors is an integer number (17316600).

Almost surely, 2^2506085400 is an apocalyptic number.

2506085400 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 2506085400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987180800).

2506085400 is an abundant number, since it is smaller than the sum of its proper divisors (7468276200).

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

2506085400 is a wasteful number, since it uses less digits than its factorization.

2506085400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2506085400 is about 50060.8170129094. The cubic root of 2506085400 is about 1358.3091371186.

The spelling of 2506085400 in words is "two billion, five hundred six million, eighty-five thousand, four hundred".