2073891600 has 675 divisors, whose sum is σ = 8552351269. Its totient is φ = 480902400.

The previous prime is 2073891571. The next prime is 2073891607. The reversal of 2073891600 is 61983702.

The square root of 2073891600 is 45540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 746600976 + 1327290624 = 27324^2 + 36432^2 .

It is a tau number, because it is divible by the number of its divisors (675).

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

It is not an unprimeable number, because it can be changed into a prime (2073891607) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 90169189 + ... + 90169211.

Almost surely, 2^2073891600 is an apocalyptic number.

2073891600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2073891600 is the 45540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073891600

2073891600 is an abundant number, since it is smaller than the sum of its proper divisors (6478459669).

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

2073891600 is a wasteful number, since it uses less digits than its factorization.

2073891600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 2073891600 is about 1275.2500547619.

Multiplying 2073891600 by its sum of digits (36), we get a square (74660097600 = 273240²).

2073891600 divided by its sum of digits (36) gives a square (57608100 = 7590²).

The spelling of 2073891600 in words is "two billion, seventy-three million, eight hundred ninety-one thousand, six hundred".