2563160400 has 180 divisors, whose sum is σ = 8961528732. Its totient is φ = 678389760.

The previous prime is 2563160393. The next prime is 2563160429. The reversal of 2563160400 is 40613652.

2563160400 is a `hidden beast` number, since 2 + 56 + 3 + 1 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36288576 + 2526871824 = 6024^2 + 50268^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×2563160400² = 13139582472256320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 490602 + ... + 495798.

Almost surely, 2^2563160400 is an apocalyptic number.

2563160400 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 2563160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4480764366).

2563160400 is an abundant number, since it is smaller than the sum of its proper divisors (6398368332).

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

2563160400 is a wasteful number, since it uses less digits than its factorization.

2563160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2563160400 is about 50627.6643743319. The cubic root of 2563160400 is about 1368.5434641766.

The spelling of 2563160400 in words is "two billion, five hundred sixty-three million, one hundred sixty thousand, four hundred".