2478071232000 has 3840 divisors, whose sum is σ = 12179388469248. Its totient is φ = 487312588800.

The previous prime is 2478071231989. The next prime is 2478071232023. The reversal of 2478071232000 is 2321708742.

2478071232000 is a `hidden beast` number, since 247 + 80 + 7 + 12 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×2478071232000² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24058943949 + ... + 24058944051.

Almost surely, 2^{2478071232000} is an apocalyptic number.

2478071232000 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 2478071232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089694234624).

2478071232000 is an abundant number, since it is smaller than the sum of its proper divisors (9701317237248).

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

2478071232000 is a wasteful number, since it uses less digits than its factorization.

2478071232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 2478071232000 in words is "two trillion, four hundred seventy-eight billion, seventy-one million, two hundred thirty-two thousand".