2528749117692 has 144 divisors (see below), whose sum is σ = 7323848243712. Its totient is φ = 720664871040.

The previous prime is 2528749117691. The next prime is 2528749117693. The reversal of 2528749117692 is 2967119478252.

2528749117692 is a `hidden beast` number, since 2 + 5 + 2 + 87 + 491 + 1 + 7 + 69 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2528749117691) and next prime (2528749117693).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2528749117691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212084043 + ... + 212095965.

It is an arithmetic number, because the mean of its divisors is an integer number (50860057248).

Almost surely, 2^{2528749117692} 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 2528749117692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661924121856).

2528749117692 is an abundant number, since it is smaller than the sum of its proper divisors (4795099126020).

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

2528749117692 is a wasteful number, since it uses less digits than its factorization.

2528749117692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14008 (or 14003 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The spelling of 2528749117692 in words is "two trillion, five hundred twenty-eight billion, seven hundred forty-nine million, one hundred seventeen thousand, six hundred ninety-two".