2025330073344 has 216 divisors, whose sum is σ = 5926355285760. Its totient is φ = 665109080064.

The previous prime is 2025330073339. The next prime is 2025330073373. The reversal of 2025330073344 is 4433700335202.

2025330073344 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 3 + 300 + 7 + 3 + 344 = 666.

It is a super-2 number, since 2×2025330073344² (a number of 25 digits) 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 = 2025330073299 and 2025330073308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84989559 + ... + 85013385.

Almost surely, 2^{2025330073344} is an apocalyptic number.

2025330073344 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 2025330073344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963177642880).

2025330073344 is an abundant number, since it is smaller than the sum of its proper divisors (3901025212416).

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

2025330073344 is a wasteful number, since it uses less digits than its factorization.

2025330073344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24395 (or 24378 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 36.

The spelling of 2025330073344 in words is "two trillion, twenty-five billion, three hundred thirty million, seventy-three thousand, three hundred forty-four".