2536900224 has 128 divisors (see below), whose sum is σ = 6866640000. Its totient is φ = 829747200.

The previous prime is 2536900189. The next prime is 2536900291. The reversal of 2536900224 is 4220096352.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5778597 + ... + 5779035.

It is an arithmetic number, because the mean of its divisors is an integer number (53645625).

Almost surely, 2^2536900224 is an apocalyptic number.

2536900224 is a gapful number since it is divisible by the number (24) 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 2536900224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433320000).

2536900224 is an abundant number, since it is smaller than the sum of its proper divisors (4329739776).

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

2536900224 is a wasteful number, since it uses less digits than its factorization.

2536900224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 2536900224 is about 50367.6505705795. The cubic root of 2536900224 is about 1363.8537294095.

Adding to 2536900224 its reverse (4220096352), we get a palindrome (6756996576).

The spelling of 2536900224 in words is "two billion, five hundred thirty-six million, nine hundred thousand, two hundred twenty-four".