2485776384 has 624 divisors, whose sum is σ = 9593299200. Its totient is φ = 621084672.

The previous prime is 2485776341. The next prime is 2485776409. The reversal of 2485776384 is 4836775842.

2485776384 is a `hidden beast` number, since 2 + 4 + 8 + 577 + 63 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2485776384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130830327 + ... + 130830345.

Almost surely, 2^2485776384 is an apocalyptic number.

2485776384 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 2485776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796649600).

2485776384 is an abundant number, since it is smaller than the sum of its proper divisors (7107522816).

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

2485776384 is a wasteful number, since it uses less digits than its factorization.

2485776384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 44 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The square root of 2485776384 is about 49857.5609511737. The cubic root of 2485776384 is about 1354.6299891558.

The spelling of 2485776384 in words is "two billion, four hundred eighty-five million, seven hundred seventy-six thousand, three hundred eighty-four".