2032406026560 has 3584 divisors, whose sum is σ = 10087251148800. Its totient is φ = 372650803200.

The previous prime is 2032406026501. The next prime is 2032406026583. The reversal of 2032406026560 is 656206042302.

2032406026560 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 40 + 602 + 6 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 13459642485 + ... + 13459642635.

It is an arithmetic number, because the mean of its divisors is an integer number (2814523200).

Almost surely, 2^{2032406026560} is an apocalyptic number.

2032406026560 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 2032406026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043625574400).

2032406026560 is an abundant number, since it is smaller than the sum of its proper divisors (8054845122240).

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

2032406026560 is a wasteful number, since it uses less digits than its factorization.

2032406026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 2032406026560 in words is "two trillion, thirty-two billion, four hundred six million, twenty-six thousand, five hundred sixty".