2284402507776 has 375 divisors, whose sum is σ = 6995528438173. Its totient is φ = 742895124480.

The previous prime is 2284402507763. The next prime is 2284402507789. The reversal of 2284402507776 is 6777052044822.

The square root of 2284402507776 is 1511424.

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

2284402507776 is a `hidden beast` number, since 2 + 28 + 4 + 40 + 2 + 507 + 7 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (2284402507763) and next prime (2284402507789).

It can be written as a sum of positive squares in only one way, i.e., 110075314176 + 2174327193600 = 331776^2 + 1474560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 55717134316 + ... + 55717134356.

Almost surely, 2^{2284402507776} is an apocalyptic number.

2284402507776 is the 1511424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2284402507776

2284402507776 is an abundant number, since it is smaller than the sum of its proper divisors (4711125930397).

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

2284402507776 is an frugal number, since it uses more digits than its factorization.

2284402507776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 2284402507776 in words is "two trillion, two hundred eighty-four billion, four hundred two million, five hundred seven thousand, seven hundred seventy-six".