2474268768 has 144 divisors (see below), whose sum is σ = 7681302720. Its totient is φ = 781301376.

The previous prime is 2474268767. The next prime is 2474268793. The reversal of 2474268768 is 8678624742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2474268768² = 12244011872600475648, 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 (2474268767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139371 + ... + 156117.

It is an arithmetic number, because the mean of its divisors is an integer number (53342380).

Almost surely, 2^2474268768 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 2474268768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840651360).

2474268768 is an abundant number, since it is smaller than the sum of its proper divisors (5207033952).

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

2474268768 is a wasteful number, since it uses less digits than its factorization.

2474268768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16791 (or 16771 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 2474268768 is about 49742.0221543113. The cubic root of 2474268768 is about 1352.5363871934.

The spelling of 2474268768 in words is "two billion, four hundred seventy-four million, two hundred sixty-eight thousand, seven hundred sixty-eight".