2425335644160 has 1904 divisors, whose sum is σ = 10397281523328. Its totient is φ = 535088332800.

The previous prime is 2425335644107. The next prime is 2425335644191. The reversal of 2425335644160 is 614465335242.

2425335644160 is a `hidden beast` number, since 2 + 4 + 2 + 533 + 56 + 4 + 4 + 1 + 60 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34159656925 + ... + 34159656995.

Almost surely, 2^{2425335644160} is an apocalyptic number.

2425335644160 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 2425335644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198640761664).

2425335644160 is an abundant number, since it is smaller than the sum of its proper divisors (7971945879168).

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

2425335644160 is an frugal number, since it uses more digits than its factorization.

2425335644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 2425335644160 in words is "two trillion, four hundred twenty-five billion, three hundred thirty-five million, six hundred forty-four thousand, one hundred sixty".