2534679972 has 96 divisors (see below), whose sum is σ = 7180467840. Its totient is φ = 766834560.

The previous prime is 2534679949. The next prime is 2534679977. The reversal of 2534679972 is 2799764352.

2534679972 is a `hidden beast` number, since 25 + 3 + 467 + 99 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2534679977) 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 31 ways as a sum of consecutive naturals, for example, 945498 + ... + 948174.

It is an arithmetic number, because the mean of its divisors is an integer number (74796540).

Almost surely, 2^2534679972 is an apocalyptic number.

2534679972 is a gapful number since it is divisible by the number (22) 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 2534679972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590233920).

2534679972 is an abundant number, since it is smaller than the sum of its proper divisors (4645787868).

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

2534679972 is a wasteful number, since it uses less digits than its factorization.

2534679972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3490 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 2534679972 is about 50345.6052898364. The cubic root of 2534679972 is about 1363.4557394069.

The spelling of 2534679972 in words is "two billion, five hundred thirty-four million, six hundred seventy-nine thousand, nine hundred seventy-two".