2465827002 has 128 divisors (see below), whose sum is σ = 5854464000. Its totient is φ = 768216960.

The previous prime is 2465826991. The next prime is 2465827019. The reversal of 2465827002 is 2007285642.

2465827002 is a `hidden beast` number, since 2 + 4 + 6 + 582 + 70 + 0 + 2 = 666.

2465827002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5616699 + ... + 5617137.

It is an arithmetic number, because the mean of its divisors is an integer number (45738000).

Almost surely, 2^2465827002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2465827002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927232000).

2465827002 is an abundant number, since it is smaller than the sum of its proper divisors (3388636998).

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

2465827002 is a wasteful number, since it uses less digits than its factorization.

2465827002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2465827002 is about 49657.0941759584. The cubic root of 2465827002 is about 1350.9964297902.

The spelling of 2465827002 in words is "two billion, four hundred sixty-five million, eight hundred twenty-seven thousand, two".