2465442000 has 480 divisors, whose sum is σ = 10429046784. Its totient is φ = 529920000.

The previous prime is 2465441981. The next prime is 2465442029. The reversal of 2465442000 is 2445642.

2465442000 is a `hidden beast` number, since 2 + 4 + 654 + 4 + 2 + 0 + 0 + 0 = 666.

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, 2141425 + ... + 2142575.

Almost surely, 2^2465442000 is an apocalyptic number.

2465442000 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 2465442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5214523392).

2465442000 is an abundant number, since it is smaller than the sum of its proper divisors (7963604784).

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

2465442000 is a wasteful number, since it uses less digits than its factorization.

2465442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2465442000 is about 49653.2174184111. The cubic root of 2465442000 is about 1350.9261135028.

Adding to 2465442000 its reverse (2445642), we get a palindrome (2467887642).

The spelling of 2465442000 in words is "two billion, four hundred sixty-five million, four hundred forty-two thousand".