2151770100480 has 5184 divisors, whose sum is σ = 11358802990080. Its totient is φ = 367873228800.

The previous prime is 2151770100463. The next prime is 2151770100521. The reversal of 2151770100480 is 840010771512.

2151770100480 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 7 + 70 + 100 + 480 = 666.

It is a super-2 number, since 2×2151770100480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 35274919650 + ... + 35274919710.

It is an arithmetic number, because the mean of its divisors is an integer number (2191127120).

Almost surely, 2^{2151770100480} is an apocalyptic number.

2151770100480 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 2151770100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679401495040).

2151770100480 is an abundant number, since it is smaller than the sum of its proper divisors (9207032889600).

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

2151770100480 is a wasteful number, since it uses less digits than its factorization.

2151770100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

Adding to 2151770100480 its reverse (840010771512), we get a palindrome (2991780871992).

The spelling of 2151770100480 in words is "two trillion, one hundred fifty-one billion, seven hundred seventy million, one hundred thousand, four hundred eighty".