2073146400 has 720 divisors, whose sum is σ = 8575326144. Its totient is φ = 483563520.

The previous prime is 2073146399. The next prime is 2073146407. The reversal of 2073146400 is 46413702.

2073146400 is a `hidden beast` number, since 2 + 0 + 7 + 3 + 14 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2073146407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19375147 + ... + 19375253.

Almost surely, 2^2073146400 is an apocalyptic number.

2073146400 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 2073146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287663072).

2073146400 is an abundant number, since it is smaller than the sum of its proper divisors (6502179744).

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

2073146400 is a wasteful number, since it uses less digits than its factorization.

2073146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2073146400 is about 45531.8174467042. The cubic root of 2073146400 is about 1275.0972936135.

The spelling of 2073146400 in words is "two billion, seventy-three million, one hundred forty-six thousand, four hundred".