2538910270008 has 128 divisors (see below), whose sum is σ = 8062105996800. Its totient is φ = 725216329728.

The previous prime is 2538910270007. The next prime is 2538910270049. The reversal of 2538910270008 is 8000720198352.

It is a happy number.

2538910270008 is a `hidden beast` number, since 2 + 538 + 9 + 102 + 7 + 0 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538910270007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5717560 + ... + 6145592.

It is an arithmetic number, because the mean of its divisors is an integer number (62985203100).

Almost surely, 2^{2538910270008} is an apocalyptic number.

2538910270008 is a gapful number since it is divisible by the number (28) 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 2538910270008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031052998400).

2538910270008 is an abundant number, since it is smaller than the sum of its proper divisors (5523195726792).

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

2538910270008 is a wasteful number, since it uses less digits than its factorization.

2538910270008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431978 (or 431968 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2538910270008 in words is "two trillion, five hundred thirty-eight billion, nine hundred ten million, two hundred seventy thousand, eight".