2101588464 has 80 divisors (see below), whose sum is σ = 5559858432. Its totient is φ = 683848704.

The previous prime is 2101588451. The next prime is 2101588477. The reversal of 2101588464 is 4648851012.

It is an interprime number because it is at equal distance from previous prime (2101588451) and next prime (2101588477).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360517 + ... + 366299.

Almost surely, 2^2101588464 is an apocalyptic number.

2101588464 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 2101588464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779929216).

2101588464 is an abundant number, since it is smaller than the sum of its proper divisors (3458269968).

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

2101588464 is a wasteful number, since it uses less digits than its factorization.

2101588464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5974 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2101588464 is about 45843.0852364890. The cubic root of 2101588464 is about 1280.9019651831.

The spelling of 2101588464 in words is "two billion, one hundred one million, five hundred eighty-eight thousand, four hundred sixty-four".