2154664512 has 672 divisors, whose sum is σ = 8600626944. Its totient is φ = 497664000.

The previous prime is 2154664459. The next prime is 2154664529.

2154664512 is a `hidden beast` number, since 2 + 1 + 5 + 4 + 6 + 645 + 1 + 2 = 666.

2154664512 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21333262 + ... + 21333362.

It is an arithmetic number, because the mean of its divisors is an integer number (12798552).

Almost surely, 2^2154664512 is an apocalyptic number.

2154664512 is a gapful number since it is divisible by the number (22) 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 2154664512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300313472).

2154664512 is an abundant number, since it is smaller than the sum of its proper divisors (6445962432).

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

2154664512 is a wasteful number, since it uses less digits than its factorization.

2154664512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2154664512 is about 46418.3639522118. The cubic root of 2154664512 is about 1291.5955882654.

It can be divided in two parts, 2154 and 664512, that added together give a palindrome (666666).

The spelling of 2154664512 in words is "two billion, one hundred fifty-four million, six hundred sixty-four thousand, five hundred twelve".