2561370240 has 512 divisors, whose sum is σ = 10117094400. Its totient is φ = 541900800.

The previous prime is 2561370239. The next prime is 2561370241. The reversal of 2561370240 is 420731652.

It is an interprime number because it is at equal distance from previous prime (2561370239) and next prime (2561370241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2561370198 and 2561370207.

It is not an unprimeable number, because it can be changed into a prime (2561370241) 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, 5216395 + ... + 5216885.

It is an arithmetic number, because the mean of its divisors is an integer number (19759950).

Almost surely, 2^2561370240 is an apocalyptic number.

2561370240 is a gapful number since it is divisible by the number (20) 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 2561370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5058547200).

2561370240 is an abundant number, since it is smaller than the sum of its proper divisors (7555724160).

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

2561370240 is a wasteful number, since it uses less digits than its factorization.

2561370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 2561370240 is about 50609.9816241816. The cubic root of 2561370240 is about 1368.2247843748.

The spelling of 2561370240 in words is "two billion, five hundred sixty-one million, three hundred seventy thousand, two hundred forty".