2154880319424 has 168 divisors, whose sum is σ = 6651317710800. Its totient is φ = 613915029504.

The previous prime is 2154880319353. The next prime is 2154880319437. The reversal of 2154880319424 is 4249130884512.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2955244 + ... + 3611540.

It is an arithmetic number, because the mean of its divisors is an integer number (39591176850).

Almost surely, 2^{2154880319424} is an apocalyptic number.

2154880319424 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 2154880319424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325658855400).

2154880319424 is an abundant number, since it is smaller than the sum of its proper divisors (4496437391376).

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

2154880319424 is a wasteful number, since it uses less digits than its factorization.

2154880319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656675 (or 656658 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 2154880319424 in words is "two trillion, one hundred fifty-four billion, eight hundred eighty million, three hundred nineteen thousand, four hundred twenty-four".