2425554616320 has 2160 divisors, whose sum is σ = 10279327705920. Its totient is φ = 546554511360.

The previous prime is 2425554616241. The next prime is 2425554616343. The reversal of 2425554616320 is 236164555242.

2425554616320 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 5 + 5 + 4 + 6 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45765181414 + ... + 45765181466.

It is an arithmetic number, because the mean of its divisors is an integer number (4758948012).

Almost surely, 2^{2425554616320} is an apocalyptic number.

2425554616320 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 2425554616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139663852960).

2425554616320 is an abundant number, since it is smaller than the sum of its proper divisors (7853773089600).

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

2425554616320 is an equidigital number, since it uses as much as digits as its factorization.

2425554616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2425554616320 in words is "two trillion, four hundred twenty-five billion, five hundred fifty-four million, six hundred sixteen thousand, three hundred twenty".