2123350237584 has 225 divisors, whose sum is σ = 6531105042451. Its totient is φ = 665869317120.

The previous prime is 2123350237573. The next prime is 2123350237609. The reversal of 2123350237584 is 4857320533212.

It is a happy number.

The square root of 2123350237584 is 1457172.

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

2123350237584 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 35 + 0 + 2 + 37 + 584 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 420137312400 + 1703212925184 = 648180^2 + 1305072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 891788074 + ... + 891790454.

Almost surely, 2^{2123350237584} is an apocalyptic number.

2123350237584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2123350237584 is the 1457172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123350237584

2123350237584 is an abundant number, since it is smaller than the sum of its proper divisors (4407754804867).

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

2123350237584 is an frugal number, since it uses more digits than its factorization.

2123350237584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 2123350237584 in words is "two trillion, one hundred twenty-three billion, three hundred fifty million, two hundred thirty-seven thousand, five hundred eighty-four".