2581143552 has 168 divisors, whose sum is σ = 8032715964. Its totient is φ = 793903104.

The previous prime is 2581143533. The next prime is 2581143571. The reversal of 2581143552 is 2553411852.

2581143552 is a `hidden beast` number, since 2 + 58 + 11 + 43 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (2581143533) and next prime (2581143571).

It can be written as a sum of positive squares in 2 ways, for example, as 2434830336 + 146313216 = 49344^2 + 12096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 957118 + ... + 959810.

Almost surely, 2^2581143552 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 2581143552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016357982).

2581143552 is an abundant number, since it is smaller than the sum of its proper divisors (5451572412).

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

2581143552 is a wasteful number, since it uses less digits than its factorization.

2581143552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2711 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 2581143552 is about 50804.9559787232. The cubic root of 2581143552 is about 1371.7365784391.

The spelling of 2581143552 in words is "two billion, five hundred eighty-one million, one hundred forty-three thousand, five hundred fifty-two".