2538351816 has 512 divisors, whose sum is σ = 9212313600. Its totient is φ = 561116160.

The previous prime is 2538351793. The next prime is 2538351853. The reversal of 2538351816 is 6181538352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30582511 + ... + 30582593.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^2538351816 is an apocalyptic number.

2538351816 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 2538351816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4606156800).

2538351816 is an abundant number, since it is smaller than the sum of its proper divisors (6673961784).

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

2538351816 is a wasteful number, since it uses less digits than its factorization.

2538351816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 2538351816 is about 50382.0584732303. The cubic root of 2538351816 is about 1364.1138081812.

The spelling of 2538351816 in words is "two billion, five hundred thirty-eight million, three hundred fifty-one thousand, eight hundred sixteen".