2465452080 has 800 divisors, whose sum is σ = 10919551104. Its totient is φ = 501645312.

The previous prime is 2465452079. The next prime is 2465452109. The reversal of 2465452080 is 802545642.

It is a happy number.

2465452080 is a `hidden beast` number, since 2 + 4 + 6 + 54 + 520 + 80 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21818104 + ... + 21818216.

Almost surely, 2^2465452080 is an apocalyptic number.

2465452080 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 2465452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459775552).

2465452080 is an abundant number, since it is smaller than the sum of its proper divisors (8454099024).

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

2465452080 is a wasteful number, since it uses less digits than its factorization.

2465452080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2465452080 is about 49653.3189223037. The cubic root of 2465452080 is about 1350.9279545948.

The spelling of 2465452080 in words is "two billion, four hundred sixty-five million, four hundred fifty-two thousand, eighty".