2496447648 has 96 divisors (see below), whose sum is σ = 7404868800. Its totient is φ = 818028288.

The previous prime is 2496447553. The next prime is 2496447673. The reversal of 2496447648 is 8467446942.

2496447648 is a `hidden beast` number, since 2 + 496 + 44 + 76 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 2496447594 and 2496447603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26490 + ... + 75462.

It is an arithmetic number, because the mean of its divisors is an integer number (77134050).

Almost surely, 2^2496447648 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 2496447648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702434400).

2496447648 is an abundant number, since it is smaller than the sum of its proper divisors (4908421152).

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

2496447648 is a wasteful number, since it uses less digits than its factorization.

2496447648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49051 (or 49037 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 2496447648 is about 49964.4638518217. The cubic root of 2496447648 is about 1356.5656657888.

The spelling of 2496447648 in words is "two billion, four hundred ninety-six million, four hundred forty-seven thousand, six hundred forty-eight".