2499667968 has 432 divisors, whose sum is σ = 8537387040. Its totient is φ = 647184384.

The previous prime is 2499667939. The next prime is 2499667969. The reversal of 2499667968 is 8697669942.

Its product of digits (70543872) is a multiple of the sum of its prime divisors (54).

It is a junction number, because it is equal to n+sod(n) for n = 2499667899 and 2499667908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2499667969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108681205 + ... + 108681227.

It is an arithmetic number, because the mean of its divisors is an integer number (19762470).

Almost surely, 2^2499667968 is an apocalyptic number.

2499667968 is a gapful number since it is divisible by the number (28) 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 2499667968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268693520).

2499667968 is an abundant number, since it is smaller than the sum of its proper divisors (6037719072).

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

2499667968 is a wasteful number, since it uses less digits than its factorization.

2499667968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 66.

The square root of 2499667968 is about 49996.6795697474. The cubic root of 2499667968 is about 1357.1487207366.

The spelling of 2499667968 in words is "two billion, four hundred ninety-nine million, six hundred sixty-seven thousand, nine hundred sixty-eight".