2452677516 has 192 divisors, whose sum is σ = 7046645760. Its totient is φ = 734469120.

The previous prime is 2452677443. The next prime is 2452677593. The reversal of 2452677516 is 6157762542.

2452677516 is a `hidden beast` number, since 2 + 4 + 526 + 77 + 51 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3710226 + ... + 3710886.

It is an arithmetic number, because the mean of its divisors is an integer number (36701280).

Almost surely, 2^2452677516 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 2452677516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523322880).

2452677516 is an abundant number, since it is smaller than the sum of its proper divisors (4593968244).

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

2452677516 is a wasteful number, since it uses less digits than its factorization.

2452677516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 773 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 2452677516 is about 49524.5142934285. The cubic root of 2452677516 is about 1348.5906675109.

The spelling of 2452677516 in words is "two billion, four hundred fifty-two million, six hundred seventy-seven thousand, five hundred sixteen".