2073384144 has 240 divisors, whose sum is σ = 6469974784. Its totient is φ = 615859200.

The previous prime is 2073384109. The next prime is 2073384149. The reversal of 2073384144 is 4414833702.

2073384144 is a `hidden beast` number, since 207 + 3 + 38 + 414 + 4 = 666.

It is a super-2 number, since 2×2073384144² = 8597843617181225472, which contains 22 as substring.

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 = 2073384099 and 2073384108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073384149) 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, 7650729 + ... + 7650999.

Almost surely, 2^2073384144 is an apocalyptic number.

2073384144 is a gapful number since it is divisible by the number (24) 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 2073384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234987392).

2073384144 is an abundant number, since it is smaller than the sum of its proper divisors (4396590640).

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

2073384144 is a wasteful number, since it uses less digits than its factorization.

2073384144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2073384144 is about 45534.4281176342. The cubic root of 2073384144 is about 1275.1460335616.

The spelling of 2073384144 in words is "two billion, seventy-three million, three hundred eighty-four thousand, one hundred forty-four".