2409452398080 has 1920 divisors, whose sum is σ = 10724313600000. Its totient is φ = 496554541056.

The previous prime is 2409452397959. The next prime is 2409452398103. The reversal of 2409452398080 is 808932549042.

2409452398080 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 452 + 39 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×2409452398080² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4828561671 + ... + 4828562169.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580000).

Almost surely, 2^{2409452398080} is an apocalyptic number.

2409452398080 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 2409452398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362156800000).

2409452398080 is an abundant number, since it is smaller than the sum of its proper divisors (8314861201920).

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

2409452398080 is a wasteful number, since it uses less digits than its factorization.

2409452398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2409452398080 in words is "two trillion, four hundred nine billion, four hundred fifty-two million, three hundred ninety-eight thousand, eighty".