2181578047488 has 480 divisors, whose sum is σ = 7708559953920. Its totient is φ = 596188200960.

The previous prime is 2181578047469. The next prime is 2181578047507. The reversal of 2181578047488 is 8847408751812.

2181578047488 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 5 + 7 + 80 + 474 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2181578047469) and next prime (2181578047507).

It is a super-2 number, since 2×2181578047488² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71205933 + ... + 71236563.

It is an arithmetic number, because the mean of its divisors is an integer number (16059499904).

Almost surely, 2^{2181578047488} is an apocalyptic number.

2181578047488 is a gapful number since it is divisible by the number (28) 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 2181578047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854279976960).

2181578047488 is an abundant number, since it is smaller than the sum of its proper divisors (5526981906432).

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

2181578047488 is an equidigital number, since it uses as much as digits as its factorization.

2181578047488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30698 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 32112640, while the sum is 63.

The spelling of 2181578047488 in words is "two trillion, one hundred eighty-one billion, five hundred seventy-eight million, forty-seven thousand, four hundred eighty-eight".