2742669425664 has 264 divisors, whose sum is σ = 9444256673280. Its totient is φ = 749549002752.

The previous prime is 2742669425651. The next prime is 2742669425677. The reversal of 2742669425664 is 4665249662472.

2742669425664 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 6 + 69 + 4 + 2 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2742669425651) and next prime (2742669425677).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 559557 + ... + 2407995.

It is an arithmetic number, because the mean of its divisors is an integer number (35773699520).

Almost surely, 2^{2742669425664} is an apocalyptic number.

2742669425664 is a gapful number since it is divisible by the number (24) 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 2742669425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722128336640).

2742669425664 is an abundant number, since it is smaller than the sum of its proper divisors (6701587247616).

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

2742669425664 is a wasteful number, since it uses less digits than its factorization.

2742669425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848495 (or 1848474 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 2742669425664 in words is "two trillion, seven hundred forty-two billion, six hundred sixty-nine million, four hundred twenty-five thousand, six hundred sixty-four".