2270464934976 has 560 divisors, whose sum is σ = 7901726152320. Its totient is φ = 631094353920.

The previous prime is 2270464934939. The next prime is 2270464935001. The reversal of 2270464934976 is 6794394640722.

It is a happy number.

2270464934976 is a `hidden beast` number, since 2 + 2 + 70 + 4 + 6 + 493 + 4 + 9 + 76 = 666.

It is a super-4 number, since 4×2270464934976⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 578755351 + ... + 578759273.

It is an arithmetic number, because the mean of its divisors is an integer number (14110225272).

Almost surely, 2^{2270464934976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2270464934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950863076160).

2270464934976 is an abundant number, since it is smaller than the sum of its proper divisors (5631261217344).

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

2270464934976 is a wasteful number, since it uses less digits than its factorization.

2270464934976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 2270464934976 in words is "two trillion, two hundred seventy billion, four hundred sixty-four million, nine hundred thirty-four thousand, nine hundred seventy-six".