2528377416 has 80 divisors (see below), whose sum is σ = 7121254140. Its totient is φ = 838097280.

The previous prime is 2528377403. The next prime is 2528377429. The reversal of 2528377416 is 6147738252.

It is an interprime number because it is at equal distance from previous prime (2528377403) and next prime (2528377429).

It can be written as a sum of positive squares in 2 ways, for example, as 1784724516 + 743652900 = 42246^2 + 27270^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106510 + ... + 128066.

Almost surely, 2^2528377416 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 2528377416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3560627070).

2528377416 is an abundant number, since it is smaller than the sum of its proper divisors (4592876724).

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

2528377416 is a wasteful number, since it uses less digits than its factorization.

2528377416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21756 (or 21743 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2528377416 is about 50282.9734204333. The cubic root of 2528377416 is about 1362.3247105640.

The spelling of 2528377416 in words is "two billion, five hundred twenty-eight million, three hundred seventy-seven thousand, four hundred sixteen".