2563700672 has 56 divisors (see below), whose sum is σ = 5484973536. Its totient is φ = 1181887488.

The previous prime is 2563700617. The next prime is 2563700677. The reversal of 2563700672 is 2760073652.

It is a super-2 number, since 2×2563700672² = 13145122271226503168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563700677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1282778 + ... + 1284774.

It is an arithmetic number, because the mean of its divisors is an integer number (97945956).

Almost surely, 2^2563700672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742486768).

2563700672 is an abundant number, since it is smaller than the sum of its proper divisors (2921272864).

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

2563700672 is a wasteful number, since it uses less digits than its factorization.

2563700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3555 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 38.

The square root of 2563700672 is about 50632.9998321253. Note that the first 3 decimals coincide. The cubic root of 2563700672 is about 1368.6396128960.

The spelling of 2563700672 in words is "two billion, five hundred sixty-three million, seven hundred thousand, six hundred seventy-two".