2154100520 has 128 divisors (see below), whose sum is σ = 5715360000. Its totient is φ = 720353280.

The previous prime is 2154100469. The next prime is 2154100537. The reversal of 2154100520 is 250014512.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2154100492 and 2154100501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2052956 + ... + 2054004.

It is an arithmetic number, because the mean of its divisors is an integer number (44651250).

Almost surely, 2^2154100520 is an apocalyptic number.

2154100520 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 2154100520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857680000).

2154100520 is an abundant number, since it is smaller than the sum of its proper divisors (3561259480).

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

2154100520 is a wasteful number, since it uses less digits than its factorization.

2154100520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2154100520 is about 46412.2884589847. The cubic root of 2154100520 is about 1291.4828850050.

The spelling of 2154100520 in words is "two billion, one hundred fifty-four million, one hundred thousand, five hundred twenty".