2042764738560 has 2400 divisors, whose sum is σ = 9591661094400. Its totient is φ = 403609485312.

The previous prime is 2042764738549. The next prime is 2042764738621. The reversal of 2042764738560 is 658374672402.

2042764738560 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 7 + 6 + 4 + 73 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2042764738497 and 2042764738506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10265149341 + ... + 10265149539.

It is an arithmetic number, because the mean of its divisors is an integer number (3996525456).

Almost surely, 2^{2042764738560} is an apocalyptic number.

2042764738560 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 2042764738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4795830547200).

2042764738560 is an abundant number, since it is smaller than the sum of its proper divisors (7548896355840).

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

2042764738560 is a wasteful number, since it uses less digits than its factorization.

2042764738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 2042764738560 in words is "two trillion, forty-two billion, seven hundred sixty-four million, seven hundred thirty-eight thousand, five hundred sixty".