2467465000 has 640 divisors, whose sum is σ = 8502278400. Its totient is φ = 645120000.

The previous prime is 2467464997. The next prime is 2467465003. The reversal of 2467465000 is 5647642.

It is an interprime number because it is at equal distance from previous prime (2467464997) and next prime (2467465003).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2467465003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 85084986 + ... + 85085014.

It is an arithmetic number, because the mean of its divisors is an integer number (13284810).

Almost surely, 2^2467465000 is an apocalyptic number.

2467465000 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 2467465000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251139200).

2467465000 is an abundant number, since it is smaller than the sum of its proper divisors (6034813400).

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

2467465000 is a wasteful number, since it uses less digits than its factorization.

2467465000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 2467465000 is about 49673.5845294056. The cubic root of 2467465000 is about 1351.2955099268.

The spelling of 2467465000 in words is "two billion, four hundred sixty-seven million, four hundred sixty-five thousand".