2493010080 has 288 divisors, whose sum is σ = 9582064128. Its totient is φ = 584755200.

The previous prime is 2493010063. The next prime is 2493010147. The reversal of 2493010080 is 800103942.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488502 + ... + 493578.

It is an arithmetic number, because the mean of its divisors is an integer number (33271056).

Almost surely, 2^2493010080 is an apocalyptic number.

2493010080 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 2493010080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791032064).

2493010080 is an abundant number, since it is smaller than the sum of its proper divisors (7089054048).

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

2493010080 is a wasteful number, since it uses less digits than its factorization.

2493010080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2493010080 is about 49930.0518725947. The cubic root of 2493010080 is about 1355.9427234533.

The spelling of 2493010080 in words is "two billion, four hundred ninety-three million, ten thousand, eighty".