2409998454864 has 2400 divisors, whose sum is σ = 10287941279616. Its totient is φ = 533416181760.

The previous prime is 2409998454811. The next prime is 2409998454883. The reversal of 2409998454864 is 4684548999042.

2409998454864 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 9 + 98 + 454 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2409998454792 and 2409998454801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 10343340892 + ... + 10343341124.

Almost surely, 2^{2409998454864} is an apocalyptic number.

2409998454864 is a gapful number since it is divisible by the number (24) 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 2409998454864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5143970639808).

2409998454864 is an abundant number, since it is smaller than the sum of its proper divisors (7877942824752).

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

2409998454864 is a wasteful number, since it uses less digits than its factorization.

2409998454864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 2409998454864 in words is "two trillion, four hundred nine billion, nine hundred ninety-eight million, four hundred fifty-four thousand, eight hundred sixty-four".