2076264824832 has 1020 divisors, whose sum is σ = 7181349681528. Its totient is φ = 592419225600.

The previous prime is 2076264824827. The next prime is 2076264824861. The reversal of 2076264824832 is 2384284626702.

2076264824832 is a `hidden beast` number, since 2 + 0 + 7 + 626 + 4 + 8 + 2 + 4 + 8 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56115265518 + ... + 56115265554.

Almost surely, 2^{2076264824832} is an apocalyptic number.

2076264824832 is a gapful number since it is divisible by the number (22) 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 2076264824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3590674840764).

2076264824832 is an abundant number, since it is smaller than the sum of its proper divisors (5105084856696).

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

2076264824832 is an frugal number, since it uses more digits than its factorization.

2076264824832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 2076264824832 in words is "two trillion, seventy-six billion, two hundred sixty-four million, eight hundred twenty-four thousand, eight hundred thirty-two".