2576661120 has 288 divisors, whose sum is σ = 9782578260. Its totient is φ = 624476160.

The previous prime is 2576661103. The next prime is 2576661121. The reversal of 2576661120 is 211666752.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2334049344 + 242611776 = 48312^2 + 15576^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2576661121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 695112 + ... + 698808.

Almost surely, 2^2576661120 is an apocalyptic number.

2576661120 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 2576661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4891289130).

2576661120 is an abundant number, since it is smaller than the sum of its proper divisors (7205917140).

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

2576661120 is a wasteful number, since it uses less digits than its factorization.

2576661120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3718 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2576661120 is about 50760.8226883686. The cubic root of 2576661120 is about 1370.9420625524.

The spelling of 2576661120 in words is "two billion, five hundred seventy-six million, six hundred sixty-one thousand, one hundred twenty".