2506287552 has 112 divisors (see below), whose sum is σ = 6992063232. Its totient is φ = 790732800.

The previous prime is 2506287533. The next prime is 2506287571. The reversal of 2506287552 is 2557826052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2506287533) and next prime (2506287571).

It is a congruent number.

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, 425427 + ... + 431277.

It is an arithmetic number, because the mean of its divisors is an integer number (62429136).

Almost surely, 2^2506287552 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 2506287552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496031616).

2506287552 is an abundant number, since it is smaller than the sum of its proper divisors (4485775680).

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

2506287552 is a wasteful number, since it uses less digits than its factorization.

2506287552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 2506287552 is about 50062.8360363254. The cubic root of 2506287552 is about 1358.3456585564.

The spelling of 2506287552 in words is "two billion, five hundred six million, two hundred eighty-seven thousand, five hundred fifty-two".