2073921408 has 384 divisors, whose sum is σ = 6986004480. Its totient is φ = 607647744.

The previous prime is 2073921407. The next prime is 2073921419. The reversal of 2073921408 is 8041293702.

2073921408 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073921407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9299985 + ... + 9300207.

It is an arithmetic number, because the mean of its divisors is an integer number (18192720).

Almost surely, 2^2073921408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073921408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493002240).

2073921408 is an abundant number, since it is smaller than the sum of its proper divisors (4912083072).

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

2073921408 is a wasteful number, since it uses less digits than its factorization.

2073921408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2073921408 is about 45540.3272715513. The cubic root of 2073921408 is about 1275.2561644467.

The spelling of 2073921408 in words is "two billion, seventy-three million, nine hundred twenty-one thousand, four hundred eight".