2467797696 has 504 divisors, whose sum is σ = 9203070240. Its totient is φ = 615555072.

The previous prime is 2467797679. The next prime is 2467797701. The reversal of 2467797696 is 6967977642.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27728020 + ... + 27728108.

It is an arithmetic number, because the mean of its divisors is an integer number (18260060).

Almost surely, 2^2467797696 is an apocalyptic number.

2467797696 is a gapful number since it is divisible by the number (26) 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 2467797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601535120).

2467797696 is an abundant number, since it is smaller than the sum of its proper divisors (6735272544).

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

2467797696 is a wasteful number, since it uses less digits than its factorization.

2467797696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 137 counting only the distinct ones).

The product of its digits is 48009024, while the sum is 63.

The square root of 2467797696 is about 49676.9332386773. The cubic root of 2467797696 is about 1351.3562403264.

The spelling of 2467797696 in words is "two billion, four hundred sixty-seven million, seven hundred ninety-seven thousand, six hundred ninety-six".