2493451920 has 80 divisors (see below), whose sum is σ = 7769895552. Its totient is φ = 661463040.

The previous prime is 2493451907. The next prime is 2493451963. The reversal of 2493451920 is 291543942.

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, 19405 + ... + 73235.

Almost surely, 2^2493451920 is an apocalyptic number.

2493451920 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 2493451920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884947776).

2493451920 is an abundant number, since it is smaller than the sum of its proper divisors (5276443632).

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

2493451920 is a wasteful number, since it uses less digits than its factorization.

2493451920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54040 (or 54034 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 2493451920 is about 49934.4762664034. The cubic root of 2493451920 is about 1356.0228239908.

The spelling of 2493451920 in words is "two billion, four hundred ninety-three million, four hundred fifty-one thousand, nine hundred twenty".