2496345984 has 192 divisors, whose sum is σ = 8107959600. Its totient is φ = 730275840.

The previous prime is 2496345961. The next prime is 2496346019. The reversal of 2496345984 is 4895436942.

2496345984 is a `hidden beast` number, since 2 + 49 + 6 + 3 + 4 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2496345984.

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, 364092 + ... + 370884.

Almost surely, 2^2496345984 is an apocalyptic number.

2496345984 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 2496345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053979800).

2496345984 is an abundant number, since it is smaller than the sum of its proper divisors (5611613616).

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

2496345984 is a wasteful number, since it uses less digits than its factorization.

2496345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6853 (or 6838 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 2496345984 is about 49963.4464784006. The cubic root of 2496345984 is about 1356.5472508537.

The spelling of 2496345984 in words is "two billion, four hundred ninety-six million, three hundred forty-five thousand, nine hundred eighty-four".