2493904896 has 384 divisors, whose sum is σ = 8963136000. Its totient is φ = 668860416.

The previous prime is 2493904859. The next prime is 2493904937. The reversal of 2493904896 is 6984093942.

2493904896 is a `hidden beast` number, since 249 + 390 + 4 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6580035 + ... + 6580413.

It is an arithmetic number, because the mean of its divisors is an integer number (23341500).

Almost surely, 2^2493904896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2493904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568000).

2493904896 is an abundant number, since it is smaller than the sum of its proper divisors (6469231104).

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

2493904896 is a wasteful number, since it uses less digits than its factorization.

2493904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2493904896 is about 49939.0117643511. The cubic root of 2493904896 is about 1356.1049335351.

The spelling of 2493904896 in words is "two billion, four hundred ninety-three million, nine hundred four thousand, eight hundred ninety-six".