2742650220420 has 288 divisors, whose sum is σ = 9103026965760. Its totient is φ = 662884992000.

The previous prime is 2742650220407. The next prime is 2742650220449. The reversal of 2742650220420 is 240220562472.

2742650220420 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 6 + 5 + 0 + 220 + 420 = 666.

2742650220420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1325591146 + ... + 1325593214.

It is an arithmetic number, because the mean of its divisors is an integer number (31607732520).

Almost surely, 2^{2742650220420} is an apocalyptic number.

2742650220420 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 2742650220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551513482880).

2742650220420 is an abundant number, since it is smaller than the sum of its proper divisors (6360376745340).

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

2742650220420 is a wasteful number, since it uses less digits than its factorization.

2742650220420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 2742650220420 its reverse (240220562472), we get a palindrome (2982870782892).

The spelling of 2742650220420 in words is "two trillion, seven hundred forty-two billion, six hundred fifty million, two hundred twenty thousand, four hundred twenty".