2757343680 has 840 divisors, whose sum is σ = 12360968928. Its totient is φ = 578285568.

The previous prime is 2757343651. The next prime is 2757343703. The reversal of 2757343680 is 863437572.

2757343680 is a `hidden beast` number, since 2 + 75 + 73 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16510957 + ... + 16511123.

Almost surely, 2^2757343680 is an apocalyptic number.

2757343680 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 2757343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180484464).

2757343680 is an abundant number, since it is smaller than the sum of its proper divisors (9603625248).

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

2757343680 is a wasteful number, since it uses less digits than its factorization.

2757343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 2757343680 is about 52510.4149669377. The cubic root of 2757343680 is about 1402.2656647577.

It can be divided in two parts, 27573 and 43680, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 2757343680 in words is "two billion, seven hundred fifty-seven million, three hundred forty-three thousand, six hundred eighty".