2538676000 has 192 divisors, whose sum is σ = 7234665984. Its totient is φ = 857472000.

The previous prime is 2538675983. The next prime is 2538676043. The reversal of 2538676000 is 6768352.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1987362 + ... + 1988638.

It is an arithmetic number, because the mean of its divisors is an integer number (37680552).

Almost surely, 2^2538676000 is an apocalyptic number.

2538676000 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 2538676000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617332992).

2538676000 is an abundant number, since it is smaller than the sum of its proper divisors (4695989984).

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

2538676000 is a wasteful number, since it uses less digits than its factorization.

2538676000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 2538676000 is about 50385.2756269131. The cubic root of 2538676000 is about 1364.1718780205.

The spelling of 2538676000 in words is "two billion, five hundred thirty-eight million, six hundred seventy-six thousand".