2493782160 has 80 divisors (see below), whose sum is σ = 7791691776. Its totient is φ = 659764224.

The previous prime is 2493782117. The next prime is 2493782201. The reversal of 2493782160 is 612873942.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10429 + ... + 71388.

Almost surely, 2^2493782160 is an apocalyptic number.

2493782160 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 2493782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895845888).

2493782160 is an abundant number, since it is smaller than the sum of its proper divisors (5297909616).

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

2493782160 is a wasteful number, since it uses less digits than its factorization.

2493782160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81960 (or 81954 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 2493782160 is about 49937.7828903126. The cubic root of 2493782160 is about 1356.0826865459.

It can be divided in two parts, 2493782 and 160, that added together give a palindrome (2493942).

The spelling of 2493782160 in words is "two billion, four hundred ninety-three million, seven hundred eighty-two thousand, one hundred sixty".