2467112760 has 576 divisors, whose sum is σ = 10419645600. Its totient is φ = 501645312.

The previous prime is 2467112723. The next prime is 2467112771. The reversal of 2467112760 is 672117642.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5697504 + ... + 5697936.

Almost surely, 2^2467112760 is an apocalyptic number.

2467112760 is a gapful number since it is divisible by the number (20) 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 2467112760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209822800).

2467112760 is an abundant number, since it is smaller than the sum of its proper divisors (7952532840).

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

2467112760 is a wasteful number, since it uses less digits than its factorization.

2467112760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 2467112760 is about 49670.0388564374. The cubic root of 2467112760 is about 1351.2312060114.

The spelling of 2467112760 in words is "two billion, four hundred sixty-seven million, one hundred twelve thousand, seven hundred sixty".