2561562248 has 64 divisors (see below), whose sum is σ = 5637340800. Its totient is φ = 1068295680.

The previous prime is 2561562247. The next prime is 2561562251. The reversal of 2561562248 is 8422651652.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (2561562247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071038 + ... + 1073426.

It is an arithmetic number, because the mean of its divisors is an integer number (88083450).

Almost surely, 2^2561562248 is an apocalyptic number.

2561562248 is a gapful number since it is divisible by the number (28) 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 2561562248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818670400).

2561562248 is an abundant number, since it is smaller than the sum of its proper divisors (3075778552).

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

2561562248 is a wasteful number, since it uses less digits than its factorization.

2561562248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2906 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 2561562248 is about 50611.8785266858. The cubic root of 2561562248 is about 1368.2589722659.

The spelling of 2561562248 in words is "two billion, five hundred sixty-one million, five hundred sixty-two thousand, two hundred forty-eight".