2777764653342 has 120 divisors (see below), whose sum is σ = 7244668445256. Its totient is φ = 793185154272.

The previous prime is 2777764653329. The next prime is 2777764653343. The reversal of 2777764653342 is 2433564677772.

2777764653342 is a `hidden beast` number, since 2 + 7 + 77 + 76 + 465 + 3 + 34 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 2777764653342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2777764653343) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13655593 + ... + 13857515.

Almost surely, 2^{2777764653342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2777764653342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622334222628).

2777764653342 is an abundant number, since it is smaller than the sum of its proper divisors (4466903791914).

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

2777764653342 is a wasteful number, since it uses less digits than its factorization.

2777764653342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203684 (or 203668 counting only the distinct ones).

The product of its digits is 248935680, while the sum is 63.

The spelling of 2777764653342 in words is "two trillion, seven hundred seventy-seven billion, seven hundred sixty-four million, six hundred fifty-three thousand, three hundred forty-two".