2151082560 has 224 divisors, whose sum is σ = 7692079104. Its totient is φ = 504576000.

The previous prime is 2151082537. The next prime is 2151082601. The reversal of 2151082560 is 652801512.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324075 + ... + 330645.

Almost surely, 2^2151082560 is an apocalyptic number.

2151082560 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 2151082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846039552).

2151082560 is an abundant number, since it is smaller than the sum of its proper divisors (5540996544).

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

2151082560 is a wasteful number, since it uses less digits than its factorization.

2151082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6633 (or 6623 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 2151082560 is about 46379.7645530893. The cubic root of 2151082560 is about 1290.8794675835.

The spelling of 2151082560 in words is "two billion, one hundred fifty-one million, eighty-two thousand, five hundred sixty".