2768577332040 has 1152 divisors, whose sum is σ = 10924663276800. Its totient is φ = 603049328640.

The previous prime is 2768577332009. The next prime is 2768577332089. The reversal of 2768577332040 is 402337758672.

2768577332040 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 577 + 3 + 3 + 20 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1897584831 + ... + 1897586289.

It is an arithmetic number, because the mean of its divisors is an integer number (9483214650).

Almost surely, 2^{2768577332040} is an apocalyptic number.

2768577332040 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 2768577332040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462331638400).

2768577332040 is an abundant number, since it is smaller than the sum of its proper divisors (8156085944760).

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

2768577332040 is a wasteful number, since it uses less digits than its factorization.

2768577332040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 2768577332040 in words is "two trillion, seven hundred sixty-eight billion, five hundred seventy-seven million, three hundred thirty-two thousand, forty".