2074875264 has 640 divisors, whose sum is σ = 8104250880. Its totient is φ = 510935040.

The previous prime is 2074875263. The next prime is 2074875293. The reversal of 2074875264 is 4625784702.

It is a happy number.

It is a super-2 number, since 2×2074875264² = 8610214722318139392, 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2074875263) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18361672 + ... + 18361784.

It is an arithmetic number, because the mean of its divisors is an integer number (12662892).

Almost surely, 2^2074875264 is an apocalyptic number.

2074875264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4052125440).

2074875264 is an abundant number, since it is smaller than the sum of its proper divisors (6029375616).

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

2074875264 is a wasteful number, since it uses less digits than its factorization.

2074875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 2074875264 is about 45550.7987196712. The cubic root of 2074875264 is about 1275.4516434556.

The spelling of 2074875264 in words is "two billion, seventy-four million, eight hundred seventy-five thousand, two hundred sixty-four".