2101454664 has 64 divisors (see below), whose sum is σ = 5497554240. Its totient is φ = 668678400.

The previous prime is 2101454653. The next prime is 2101454671. The reversal of 2101454664 is 4664541012.

It is a super-2 number, since 2×2101454664² = 8832223409694705792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24739 + ... + 69389.

It is an arithmetic number, because the mean of its divisors is an integer number (85899285).

Almost surely, 2^2101454664 is an apocalyptic number.

2101454664 is a gapful number since it is divisible by the number (24) 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 2101454664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748777120).

2101454664 is an abundant number, since it is smaller than the sum of its proper divisors (3396099576).

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

2101454664 is a wasteful number, since it uses less digits than its factorization.

2101454664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44750 (or 44746 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2101454664 is about 45841.6258873963. The cubic root of 2101454664 is about 1280.8747812501.

Adding to 2101454664 its reverse (4664541012), we get a palindrome (6765995676).

The spelling of 2101454664 in words is "two billion, one hundred one million, four hundred fifty-four thousand, six hundred sixty-four".