2435672120896 has 315 divisors, whose sum is σ = 6017054302545. Its totient is φ = 975352573440.

The previous prime is 2435672120801. The next prime is 2435672120951. The reversal of 2435672120896 is 6980212765342.

It is a happy number.

The square root of 2435672120896 is 1560664.

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., 1277207378496 + 1158464742400 = 1130136^2 + 1076320^2 .

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, 78570068401 + ... + 78570068431.

It is a 1-persistent number, because it is pandigital, but 2⋅2435672120896 = 4871344241792 is not.

Almost surely, 2^{2435672120896} is an apocalyptic number.

2435672120896 is the 1560664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2435672120896

2435672120896 is an abundant number, since it is smaller than the sum of its proper divisors (3581382181649).

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

2435672120896 is an frugal number, since it uses more digits than its factorization.

2435672120896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 2435672120896 in words is "two trillion, four hundred thirty-five billion, six hundred seventy-two million, one hundred twenty thousand, eight hundred ninety-six".