2025741656736 has 720 divisors, whose sum is σ = 7182073483200. Its totient is φ = 559876665600.

The previous prime is 2025741656713. The next prime is 2025741656737. The reversal of 2025741656736 is 6376561475202.

2025741656736 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 7 + 41 + 6 + 567 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2025741656737) 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, 854381631 + ... + 854384001.

It is an arithmetic number, because the mean of its divisors is an integer number (9975102060).

Almost surely, 2^{2025741656736} 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 2025741656736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591036741600).

2025741656736 is an abundant number, since it is smaller than the sum of its proper divisors (5156331826464).

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

2025741656736 is an equidigital number, since it uses as much as digits as its factorization.

2025741656736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 2025741656736 in words is "two trillion, twenty-five billion, seven hundred forty-one million, six hundred fifty-six thousand, seven hundred thirty-six".