2073813840 has 400 divisors, whose sum is σ = 8318217600. Its totient is φ = 469048320.

The previous prime is 2073813821. The next prime is 2073813871. The reversal of 2073813840 is 483183702.

2073813840 is a `hidden beast` number, since 207 + 381 + 38 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2073813795 and 2073813804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5941986 + ... + 5942334.

It is an arithmetic number, because the mean of its divisors is an integer number (20795544).

Almost surely, 2^2073813840 is an apocalyptic number.

2073813840 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 2073813840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159108800).

2073813840 is an abundant number, since it is smaller than the sum of its proper divisors (6244403760).

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

2073813840 is a wasteful number, since it uses less digits than its factorization.

2073813840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2073813840 is about 45539.1462370563. The cubic root of 2073813840 is about 1275.2341161784.

The spelling of 2073813840 in words is "two billion, seventy-three million, eight hundred thirteen thousand, eight hundred forty".