2101464000 has 672 divisors, whose sum is σ = 8307726336. Its totient is φ = 524620800.

The previous prime is 2101463999. The next prime is 2101464031. The reversal of 2101464000 is 4641012.

2101464000 is a `hidden beast` number, since 2 + 10 + 14 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 44711977 + ... + 44712023.

It is an arithmetic number, because the mean of its divisors is an integer number (12362688).

Almost surely, 2^2101464000 is an apocalyptic number.

2101464000 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 2101464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153863168).

2101464000 is an abundant number, since it is smaller than the sum of its proper divisors (6206262336).

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

2101464000 is an equidigital number, since it uses as much as digits as its factorization.

2101464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2101464000 is about 45841.7277161322. The cubic root of 2101464000 is about 1280.8766780678.

The spelling of 2101464000 in words is "two billion, one hundred one million, four hundred sixty-four thousand".