2584061663040 has 2240 divisors, whose sum is σ = 11428350861312. Its totient is φ = 545539276800.

The previous prime is 2584061663003. The next prime is 2584061663147. The reversal of 2584061663040 is 403661604852.

2584061663040 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 0 + 6 + 1 + 6 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 4940844219 + ... + 4940844741.

Almost surely, 2^{2584061663040} is an apocalyptic number.

2584061663040 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 2584061663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714175430656).

2584061663040 is an abundant number, since it is smaller than the sum of its proper divisors (8844289198272).

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

2584061663040 is a wasteful number, since it uses less digits than its factorization.

2584061663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2584061663040 in words is "two trillion, five hundred eighty-four billion, sixty-one million, six hundred sixty-three thousand, forty".