2128524226560 has 624 divisors, whose sum is σ = 7536747479040. Its totient is φ = 555525734400.

The previous prime is 2128524226537. The next prime is 2128524226583. The reversal of 2128524226560 is 656224258212.

2128524226560 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 524 + 2 + 2 + 65 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2128524226537) and next prime (2128524226583).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1849281985 + ... + 1849283135.

It is an arithmetic number, because the mean of its divisors is an integer number (12078120960).

Almost surely, 2^{2128524226560} is an apocalyptic number.

2128524226560 is a gapful number since it is divisible by the number (20) 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 2128524226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3768373739520).

2128524226560 is an abundant number, since it is smaller than the sum of its proper divisors (5408223252480).

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

2128524226560 is a wasteful number, since it uses less digits than its factorization.

2128524226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1392 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 2128524226560 in words is "two trillion, one hundred twenty-eight billion, five hundred twenty-four million, two hundred twenty-six thousand, five hundred sixty".