2710422224896 has 153 divisors (see below), whose sum is σ = 5565291830301. Its totient is φ = 1320019034112.

The previous prime is 2710422224849. The next prime is 2710422224897. The reversal of 2710422224896 is 6984222240172.

The square root of 2710422224896 is 1646336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1889151287296 + 821270937600 = 1374464^2 + 906240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2710422224897) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24866258890 + ... + 24866258998.

Almost surely, 2^{2710422224896} is an apocalyptic number.

2710422224896 is the 1646336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2710422224896

2710422224896 is an abundant number, since it is smaller than the sum of its proper divisors (2854869605405).

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

2710422224896 is an frugal number, since it uses more digits than its factorization.

2710422224896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 2710422224896 by its sum of digits (49), we get a square (132810689019904 = 11524352²).

The spelling of 2710422224896 in words is "two trillion, seven hundred ten billion, four hundred twenty-two million, two hundred twenty-four thousand, eight hundred ninety-six".