2494140768 has 144 divisors (see below), whose sum is σ = 8462406960. Its totient is φ = 712599552.

The previous prime is 2494140757. The next prime is 2494140791. The reversal of 2494140768 is 8670414942.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12880 + ... + 71792.

It is an arithmetic number, because the mean of its divisors is an integer number (58766715).

Almost surely, 2^2494140768 is an apocalyptic number.

2494140768 is a gapful number since it is divisible by the number (28) 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 2494140768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231203480).

2494140768 is an abundant number, since it is smaller than the sum of its proper divisors (5968266192).

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

2494140768 is a wasteful number, since it uses less digits than its factorization.

2494140768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58946 (or 58925 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2494140768 is about 49941.3733091112. The cubic root of 2494140768 is about 1356.1476853791.

The spelling of 2494140768 in words is "two billion, four hundred ninety-four million, one hundred forty thousand, seven hundred sixty-eight".