2561468052 has 192 divisors, whose sum is σ = 7444362240. Its totient is φ = 673920000.

The previous prime is 2561468051. The next prime is 2561468053. The reversal of 2561468052 is 2508641652.

It is an interprime number because it is at equal distance from previous prime (2561468051) and next prime (2561468053).

It is a super-2 number, since 2×2561468052² = 13122237162833349408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2561468052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561468051) 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, 8183448 + ... + 8183760.

It is an arithmetic number, because the mean of its divisors is an integer number (38772720).

Almost surely, 2^2561468052 is an apocalyptic number.

2561468052 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 2561468052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722181120).

2561468052 is an abundant number, since it is smaller than the sum of its proper divisors (4882894188).

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

2561468052 is a wasteful number, since it uses less digits than its factorization.

2561468052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2561468052 is about 50610.9479460719. The cubic root of 2561468052 is about 1368.2422004564.

The spelling of 2561468052 in words is "two billion, five hundred sixty-one million, four hundred sixty-eight thousand, fifty-two".