2467745280 has 960 divisors, whose sum is σ = 11582258688. Its totient is φ = 468910080.

The previous prime is 2467745261. The next prime is 2467745299. The reversal of 2467745280 is 825477642.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2467745261) and next prime (2467745299).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062987 + ... + 23063093.

Almost surely, 2^2467745280 is an apocalyptic number.

2467745280 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 2467745280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5791129344).

2467745280 is an abundant number, since it is smaller than the sum of its proper divisors (9114513408).

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

2467745280 is a wasteful number, since it uses less digits than its factorization.

2467745280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2467745280 is about 49676.4056670770. The cubic root of 2467745280 is about 1351.3466726607.

It can be divided in two parts, 2467 and 745280, that added together give a palindrome (747747).

The spelling of 2467745280 in words is "two billion, four hundred sixty-seven million, seven hundred forty-five thousand, two hundred eighty".