2467313552 has 80 divisors (see below), whose sum is σ = 5519646720. Its totient is φ = 1056643200.

The previous prime is 2467313549. The next prime is 2467313593. The reversal of 2467313552 is 2553137642.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 636773 + ... + 640635.

It is an arithmetic number, because the mean of its divisors is an integer number (68995584).

Almost surely, 2^2467313552 is an apocalyptic number.

2467313552 is a gapful number since it is divisible by the number (22) 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 2467313552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759823360).

2467313552 is an abundant number, since it is smaller than the sum of its proper divisors (3052333168).

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

2467313552 is a wasteful number, since it uses less digits than its factorization.

2467313552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4092 (or 4086 counting only the distinct ones).

The product of its digits is 151200, while the sum is 38.

The square root of 2467313552 is about 49672.0600740497. The cubic root of 2467313552 is about 1351.2678627680.

The spelling of 2467313552 in words is "two billion, four hundred sixty-seven million, three hundred thirteen thousand, five hundred fifty-two".