3122254080 has 576 divisors, whose sum is σ = 12432752640. Its totient is φ = 735436800.

The previous prime is 3122254061. The next prime is 3122254087. The reversal of 3122254080 is 804522213.

3122254080 is a `hidden beast` number, since 31 + 2 + 225 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3122254087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16346785 + ... + 16346975.

It is an arithmetic number, because the mean of its divisors is an integer number (21584640).

Almost surely, 2^3122254080 is an apocalyptic number.

3122254080 is a gapful number since it is divisible by the number (30) 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 3122254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216376320).

3122254080 is an abundant number, since it is smaller than the sum of its proper divisors (9310498560).

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

3122254080 is a wasteful number, since it uses less digits than its factorization.

3122254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 3122254080 is about 55877.1337847603. The cubic root of 3122254080 is about 1461.5805239517.

Adding to 3122254080 its reverse (804522213), we get a palindrome (3926776293).

The spelling of 3122254080 in words is "three billion, one hundred twenty-two million, two hundred fifty-four thousand, eighty".