2425664736 has 216 divisors, whose sum is σ = 7748631072. Its totient is φ = 718924800.

The previous prime is 2425664713. The next prime is 2425664789. The reversal of 2425664736 is 6374665242.

2425664736 is a `hidden beast` number, since 2 + 42 + 566 + 47 + 3 + 6 = 666.

It is a super-2 number, since 2×2425664736² = 11767698822947899392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2425664691 and 2425664700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1637116 + ... + 1638596.

It is an arithmetic number, because the mean of its divisors is an integer number (35873292).

Almost surely, 2^2425664736 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 2425664736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874315536).

2425664736 is an abundant number, since it is smaller than the sum of its proper divisors (5322966336).

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

2425664736 is a wasteful number, since it uses less digits than its factorization.

2425664736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1544 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 2425664736 is about 49251.0379179972. The cubic root of 2425664736 is about 1343.6214388748.

The spelling of 2425664736 in words is "two billion, four hundred twenty-five million, six hundred sixty-four thousand, seven hundred thirty-six".