2563120 has 80 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 836352.

The previous prime is 2563117. The next prime is 2563139. The reversal of 2563120 is 213652.

2563120 = T₃₉ + T₄₀ + ... + T₂₄₈.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12781 + ... + 12979.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

2^2563120 is an apocalyptic number.

2563120 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 2563120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2563120 is an abundant number, since it is smaller than the sum of its proper divisors (4579280).

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

2563120 is a wasteful number, since it uses less digits than its factorization.

2563120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2563120 is about 1600.9747031106. The cubic root of 2563120 is about 136.8536273907.

Adding to 2563120 its reverse (213652), we get a palindrome (2776772).

It can be divided in two parts, 25631 and 20, that added together give a triangular number (25651 = T₂₂₆).

The spelling of 2563120 in words is "two million, five hundred sixty-three thousand, one hundred twenty".