2273587496964 has 189 divisors, whose sum is σ = 6941127419877. Its totient is φ = 649433580768.

The previous prime is 2273587496959. The next prime is 2273587497007. The reversal of 2273587496964 is 4696947853722.

The square root of 2273587496964 is 1507842.

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

2273587496964 is a `hidden beast` number, since 2 + 2 + 73 + 5 + 8 + 7 + 496 + 9 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1071933056964 + 1201654440000 = 1035342^2 + 1096200^2 .

It is a tau number, because it is divible by the number of its divisors (189).

It is a junction number, because it is equal to n+sod(n) for n = 2273587496892 and 2273587496901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 569962282 + ... + 569966270.

Almost surely, 2^{2273587496964} is an apocalyptic number.

2273587496964 is the 1507842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2273587496964

2273587496964 is an abundant number, since it is smaller than the sum of its proper divisors (4667539922913).

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

2273587496964 is an frugal number, since it uses more digits than its factorization.

2273587496964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8014 (or 4001 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 2273587496964 in words is "two trillion, two hundred seventy-three billion, five hundred eighty-seven million, four hundred ninety-six thousand, nine hundred sixty-four".