2765213640 has 896 divisors, whose sum is σ = 12087705600. Its totient is φ = 554273280.

The previous prime is 2765213567. The next prime is 2765213681. The reversal of 2765213640 is 463125672.

2765213640 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 2 + 1 + 3 + 640 = 666.

2765213640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2765213595 and 2765213604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 89200425 + ... + 89200455.

Almost surely, 2^2765213640 is an apocalyptic number.

2765213640 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 2765213640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043852800).

2765213640 is an abundant number, since it is smaller than the sum of its proper divisors (9322491960).

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

2765213640 is a wasteful number, since it uses less digits than its factorization.

2765213640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2765213640 is about 52585.2987060072. The cubic root of 2765213640 is about 1403.5985045265.

The spelling of 2765213640 in words is "two billion, seven hundred sixty-five million, two hundred thirteen thousand, six hundred forty".