2742652221420 has 96 divisors (see below), whose sum is σ = 7876111541760. Its totient is φ = 712684541440.

The previous prime is 2742652221403. The next prime is 2742652221431. The reversal of 2742652221420 is 241222562472.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1399519 + ... + 2728361.

It is an arithmetic number, because the mean of its divisors is an integer number (82042828560).

Almost surely, 2^{2742652221420} is an apocalyptic number.

2742652221420 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 2742652221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938055770880).

2742652221420 is an abundant number, since it is smaller than the sum of its proper divisors (5133459320340).

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

2742652221420 is a wasteful number, since it uses less digits than its factorization.

2742652221420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329735 (or 1329733 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

Adding to 2742652221420 its reverse (241222562472), we get a palindrome (2983874783892).

The spelling of 2742652221420 in words is "two trillion, seven hundred forty-two billion, six hundred fifty-two million, two hundred twenty-one thousand, four hundred twenty".