2434798227456 has 1053 divisors, whose sum is σ = 8697643992531. Its totient is φ = 679478575104.

The previous prime is 2434798227359. The next prime is 2434798227469. The reversal of 2434798227456 is 6547228974342.

The square root of 2434798227456 is 1560384.

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

2434798227456 is a `hidden beast` number, since 2 + 4 + 34 + 79 + 82 + 2 + 7 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2434798227393 and 2434798227402.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56623214571 + ... + 56623214613.

Almost surely, 2^{2434798227456} is an apocalyptic number.

2434798227456 is the 1560384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434798227456

2434798227456 is an abundant number, since it is smaller than the sum of its proper divisors (6262845765075).

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

2434798227456 is an frugal number, since it uses more digits than its factorization.

2434798227456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 55 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

It can be divided in two parts, 243479822 and 7456, that added together give a triangular number (243487278 = T₂₂₀₆₇).

The spelling of 2434798227456 in words is "two trillion, four hundred thirty-four billion, seven hundred ninety-eight million, two hundred twenty-seven thousand, four hundred fifty-six".