2547893964 has 144 divisors (see below), whose sum is σ = 7720707456. Its totient is φ = 646329600.

The previous prime is 2547893947. The next prime is 2547893981. The reversal of 2547893964 is 4693987452.

It is an interprime number because it is at equal distance from previous prime (2547893947) and next prime (2547893981).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273544 + ... + 282704.

It is an arithmetic number, because the mean of its divisors is an integer number (53616024).

Almost surely, 2^2547893964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2547893964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860353728).

2547893964 is an abundant number, since it is smaller than the sum of its proper divisors (5172813492).

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

2547893964 is a wasteful number, since it uses less digits than its factorization.

2547893964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236 (or 9227 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

The square root of 2547893964 is about 50476.6675207467. The cubic root of 2547893964 is about 1365.8209919723.

The spelling of 2547893964 in words is "two billion, five hundred forty-seven million, eight hundred ninety-three thousand, nine hundred sixty-four".