2494505664 has 336 divisors, whose sum is σ = 8769266688. Its totient is φ = 662390784.

The previous prime is 2494505633. The next prime is 2494505669. The reversal of 2494505664 is 4665054942.

2494505664 is a `hidden beast` number, since 2 + 49 + 45 + 0 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2494505669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3430869 + ... + 3431595.

It is an arithmetic number, because the mean of its divisors is an integer number (26099008).

Almost surely, 2^2494505664 is an apocalyptic number.

2494505664 is a gapful number since it is divisible by the number (24) 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 2494505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384633344).

2494505664 is an abundant number, since it is smaller than the sum of its proper divisors (6274761024).

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

2494505664 is a wasteful number, since it uses less digits than its factorization.

2494505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 2494505664 is about 49945.0264190540. The cubic root of 2494505664 is about 1356.2138175373.

The spelling of 2494505664 in words is "two billion, four hundred ninety-four million, five hundred five thousand, six hundred sixty-four".