2528700642048 has 432 divisors, whose sum is σ = 8253687697920. Its totient is φ = 683926290432.

The previous prime is 2528700642023. The next prime is 2528700642053. The reversal of 2528700642048 is 8402460078252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2528700641988 and 2528700642006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83941933 + ... + 83972051.

It is an arithmetic number, because the mean of its divisors is an integer number (19105758560).

Almost surely, 2^{2528700642048} is an apocalyptic number.

2528700642048 is a gapful number since it is divisible by the number (28) 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 2528700642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126843848960).

2528700642048 is an abundant number, since it is smaller than the sum of its proper divisors (5724987055872).

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

2528700642048 is a wasteful number, since it uses less digits than its factorization.

2528700642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30272 (or 30251 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 2528700642048 in words is "two trillion, five hundred twenty-eight billion, seven hundred million, six hundred forty-two thousand, forty-eight".