2151452517720 has 256 divisors, whose sum is σ = 7328335196160. Its totient is φ = 504738432000.

The previous prime is 2151452517673. The next prime is 2151452517793. The reversal of 2151452517720 is 277152541512.

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 63 ways as a sum of consecutive naturals, for example, 4734060 + ... + 5168580.

It is an arithmetic number, because the mean of its divisors is an integer number (28626309360).

Almost surely, 2^{2151452517720} is an apocalyptic number.

2151452517720 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 2151452517720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3664167598080).

2151452517720 is an abundant number, since it is smaller than the sum of its proper divisors (5176882678440).

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

2151452517720 is a wasteful number, since it uses less digits than its factorization.

2151452517720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434599 (or 434573 counting only the distinct ones).

The product of its (nonzero) digits is 196000, while the sum is 42.

The spelling of 2151452517720 in words is "two trillion, one hundred fifty-one billion, four hundred fifty-two million, five hundred seventeen thousand, seven hundred twenty".