2460077568 has 320 divisors, whose sum is σ = 7985947200. Its totient is φ = 756946944.

The previous prime is 2460077561. The next prime is 2460077597. The reversal of 2460077568 is 8657700642.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2460077568 is a `hidden beast` number, since 24 + 60 + 0 + 7 + 7 + 568 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2460077561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 189236730 + ... + 189236742.

It is an arithmetic number, because the mean of its divisors is an integer number (24956085).

Almost surely, 2^2460077568 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 2460077568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992973600).

2460077568 is an abundant number, since it is smaller than the sum of its proper divisors (5525869632).

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

2460077568 is an frugal number, since it uses more digits than its factorization.

2460077568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2460077568 is about 49599.1690252972. The cubic root of 2460077568 is about 1349.9455978077.

The spelling of 2460077568 in words is "two billion, four hundred sixty million, seventy-seven thousand, five hundred sixty-eight".