2474974656 has 672 divisors, whose sum is σ = 9729216000. Its totient is φ = 602173440.

The previous prime is 2474974651. The next prime is 2474974661. The reversal of 2474974656 is 6564794742.

2474974656 is a `hidden beast` number, since 24 + 74 + 97 + 465 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2474974651) and next prime (2474974661).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2474974656² = 12250999095684636672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2474974651) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 27808660 + ... + 27808748.

It is an arithmetic number, because the mean of its divisors is an integer number (14478000).

Almost surely, 2^2474974656 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 2474974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864608000).

2474974656 is an abundant number, since it is smaller than the sum of its proper divisors (7254241344).

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

2474974656 is a wasteful number, since it uses less digits than its factorization.

2474974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 131 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 2474974656 is about 49749.1171378950. The cubic root of 2474974656 is about 1352.6649973696.

The spelling of 2474974656 in words is "two billion, four hundred seventy-four million, nine hundred seventy-four thousand, six hundred fifty-six".