2465125560 has 192 divisors, whose sum is σ = 8279107200. Its totient is φ = 635762688.

The previous prime is 2465125517. The next prime is 2465125571. The reversal of 2465125560 is 655215642.

2465125560 is a `hidden beast` number, since 2 + 46 + 51 + 2 + 5 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1505062 + ... + 1506698.

It is an arithmetic number, because the mean of its divisors is an integer number (43120350).

Almost surely, 2^2465125560 is an apocalyptic number.

2465125560 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 2465125560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4139553600).

2465125560 is an abundant number, since it is smaller than the sum of its proper divisors (5813981640).

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

2465125560 is a wasteful number, since it uses less digits than its factorization.

2465125560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1783 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 2465125560 is about 49650.0308157004. The cubic root of 2465125560 is about 1350.8683138128.

The spelling of 2465125560 in words is "two billion, four hundred sixty-five million, one hundred twenty-five thousand, five hundred sixty".