2538205956 has 192 divisors, whose sum is σ = 7830278400. Its totient is φ = 709637760.

The previous prime is 2538205951. The next prime is 2538205981. The reversal of 2538205956 is 6595028352.

2538205956 is a `hidden beast` number, since 2 + 5 + 38 + 20 + 595 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (2538205951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1249950 + ... + 1251978.

It is an arithmetic number, because the mean of its divisors is an integer number (40782700).

Almost surely, 2^2538205956 is an apocalyptic number.

2538205956 is a gapful number since it is divisible by the number (26) 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 2538205956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915139200).

2538205956 is an abundant number, since it is smaller than the sum of its proper divisors (5292072444).

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

2538205956 is a wasteful number, since it uses less digits than its factorization.

2538205956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 2538205956 is about 50380.6109133266. The cubic root of 2538205956 is about 1364.0876792249.

The spelling of 2538205956 in words is "two billion, five hundred thirty-eight million, two hundred five thousand, nine hundred fifty-six".