2548125216 has 432 divisors, whose sum is σ = 9333140544. Its totient is φ = 669606912.

The previous prime is 2548125211. The next prime is 2548125221. The reversal of 2548125216 is 6125218452.

2548125216 is a `hidden beast` number, since 2 + 54 + 81 + 2 + 521 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2548125211) and next prime (2548125221).

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2548125211) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9198870 + ... + 9199146.

It is an arithmetic number, because the mean of its divisors is an integer number (21604492).

Almost surely, 2^2548125216 is an apocalyptic number.

2548125216 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 2548125216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4666570272).

2548125216 is an abundant number, since it is smaller than the sum of its proper divisors (6785015328).

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

2548125216 is a wasteful number, since it uses less digits than its factorization.

2548125216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 302 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2548125216 is about 50478.9581508969. The cubic root of 2548125216 is about 1365.8623122791.

The spelling of 2548125216 in words is "two billion, five hundred forty-eight million, one hundred twenty-five thousand, two hundred sixteen".