2548138000 has 160 divisors (see below), whose sum is σ = 6458729472. Its totient is φ = 971136000.

The previous prime is 2548137997. The next prime is 2548138003. The reversal of 2548138000 is 8318452.

It is an interprime number because it is at equal distance from previous prime (2548137997) and next prime (2548138003).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (2548138003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4525719 + ... + 4526281.

Almost surely, 2^2548138000 is an apocalyptic number.

2548138000 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 2548138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3229364736).

2548138000 is an abundant number, since it is smaller than the sum of its proper divisors (3910591472).

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

2548138000 is a wasteful number, since it uses less digits than its factorization.

2548138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 2548138000 is about 50479.0847777572. The cubic root of 2548138000 is about 1365.8645964623.

The spelling of 2548138000 in words is "two billion, five hundred forty-eight million, one hundred thirty-eight thousand".