2493747564 has 144 divisors (see below), whose sum is σ = 7381027584. Its totient is φ = 641393280.

The previous prime is 2493747563. The next prime is 2493747583. The reversal of 2493747564 is 4657473942.

It is a happy number.

It is a super-3 number, since 3×2493747564³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2493747563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086402 + ... + 1088694.

It is an arithmetic number, because the mean of its divisors is an integer number (51257136).

Almost surely, 2^2493747564 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 2493747564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690513792).

2493747564 is an abundant number, since it is smaller than the sum of its proper divisors (4887280020).

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

2493747564 is a wasteful number, since it uses less digits than its factorization.

2493747564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2423 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 51.

The square root of 2493747564 is about 49937.4364980823. The cubic root of 2493747564 is about 1356.0764155821.

It can be divided in two parts, 2493 and 747564, that added together give a palindrome (750057).

The spelling of 2493747564 in words is "two billion, four hundred ninety-three million, seven hundred forty-seven thousand, five hundred sixty-four".