2073516880 has 80 divisors (see below), whose sum is σ = 4993033104. Its totient is φ = 800317440.

The previous prime is 2073516859. The next prime is 2073516881. The reversal of 2073516880 is 886153702.

It can be written as a sum of positive squares in 8 ways, for example, as 98247744 + 1975269136 = 9912^2 + 44444^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073516881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254632 + ... + 262648.

Almost surely, 2^2073516880 is an apocalyptic number.

2073516880 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 2073516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496516552).

2073516880 is an abundant number, since it is smaller than the sum of its proper divisors (2919516224).

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

2073516880 is a wasteful number, since it uses less digits than its factorization.

2073516880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8144 (or 8138 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 2073516880 is about 45535.8856288093. The cubic root of 2073516880 is about 1275.1732441764.

The spelling of 2073516880 in words is "two billion, seventy-three million, five hundred sixteen thousand, eight hundred eighty".