2547125028 has 432 divisors, whose sum is σ = 8667195264. Its totient is φ = 638254080.

The previous prime is 2547125023. The next prime is 2547125033. The reversal of 2547125028 is 8205217452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2547125023) and next prime (2547125033).

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

It is a junction number, because it is equal to n+sod(n) for n = 2547124983 and 2547125001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2547125023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41756118 + ... + 41756178.

It is an arithmetic number, because the mean of its divisors is an integer number (20062952).

Almost surely, 2^2547125028 is an apocalyptic number.

2547125028 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 2547125028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333597632).

2547125028 is an abundant number, since it is smaller than the sum of its proper divisors (6120070236).

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

2547125028 is a wasteful number, since it uses less digits than its factorization.

2547125028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2547125028 is about 50469.0501991072. The cubic root of 2547125028 is about 1365.6835798438.

The spelling of 2547125028 in words is "two billion, five hundred forty-seven million, one hundred twenty-five thousand, twenty-eight".