2764266795840 has 896 divisors, whose sum is σ = 10170679541760. Its totient is φ = 629902540800.

The previous prime is 2764266795833. The next prime is 2764266795853. The reversal of 2764266795840 is 485976624672.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1856457816 + ... + 1856459304.

Almost surely, 2^{2764266795840} is an apocalyptic number.

2764266795840 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 2764266795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085339770880).

2764266795840 is an abundant number, since it is smaller than the sum of its proper divisors (7406412745920).

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

2764266795840 is a wasteful number, since it uses less digits than its factorization.

2764266795840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 2764266795840 in words is "two trillion, seven hundred sixty-four billion, two hundred sixty-six million, seven hundred ninety-five thousand, eight hundred forty".