2073313440 has 432 divisors, whose sum is σ = 8223677280. Its totient is φ = 470430720.

The previous prime is 2073313439. The next prime is 2073313579. The reversal of 2073313440 is 443133702.

2073313440 is a `hidden beast` number, since 207 + 3 + 3 + 13 + 440 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24979639 + ... + 24979721.

It is an arithmetic number, because the mean of its divisors is an integer number (19036290).

Almost surely, 2^2073313440 is an apocalyptic number.

2073313440 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 2073313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111838640).

2073313440 is an abundant number, since it is smaller than the sum of its proper divisors (6150363840).

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

2073313440 is a wasteful number, since it uses less digits than its factorization.

2073313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 2073313440 is about 45533.6517314392. The cubic root of 2073313440 is about 1275.1315389088.

It can be divided in two parts, 2073 and 313440, that added together give a palindrome (315513).

The spelling of 2073313440 in words is "two billion, seventy-three million, three hundred thirteen thousand, four hundred forty".