2506535300 has 72 divisors (see below), whose sum is σ = 5536348776. Its totient is φ = 984821760.

The previous prime is 2506535299. The next prime is 2506535329. The reversal of 2506535300 is 35356052.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 1693487104 + 813048196 = 41152^2 + 28514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2284352 + ... + 2285448.

It is an arithmetic number, because the mean of its divisors is an integer number (76893733).

Almost surely, 2^2506535300 is an apocalyptic number.

2506535300 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 2506535300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768174388).

2506535300 is an abundant number, since it is smaller than the sum of its proper divisors (3029813476).

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

2506535300 is a wasteful number, since it uses less digits than its factorization.

2506535300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 2506535300 is about 50065.3103455876. The cubic root of 2506535300 is about 1358.3904148377.

The spelling of 2506535300 in words is "two billion, five hundred six million, five hundred thirty-five thousand, three hundred".