2150688180480 has 2592 divisors, whose sum is σ = 9351987176448. Its totient is φ = 417831321600.

The previous prime is 2150688180461. The next prime is 2150688180493. The reversal of 2150688180480 is 840818860512.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52455809260 + ... + 52455809300.

It is an arithmetic number, because the mean of its divisors is an integer number (3608019744).

Almost surely, 2^{2150688180480} is an apocalyptic number.

2150688180480 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 2150688180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675993588224).

2150688180480 is an abundant number, since it is smaller than the sum of its proper divisors (7201298995968).

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

2150688180480 is a wasteful number, since it uses less digits than its factorization.

2150688180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The spelling of 2150688180480 in words is "two trillion, one hundred fifty billion, six hundred eighty-eight million, one hundred eighty thousand, four hundred eighty".