2976286464 has 288 divisors, whose sum is σ = 9389318400. Its totient is φ = 927313920.

The previous prime is 2976286463. The next prime is 2976286477. The reversal of 2976286464 is 4646826792.

2976286464 is a `hidden beast` number, since 2 + 9 + 7 + 628 + 6 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2976286464² = 17716562231579246592, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2976286464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2976286463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17203882 + ... + 17204054.

It is an arithmetic number, because the mean of its divisors is an integer number (32601800).

Almost surely, 2^2976286464 is an apocalyptic number.

2976286464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2976286464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694659200).

2976286464 is an abundant number, since it is smaller than the sum of its proper divisors (6413031936).

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

2976286464 is a wasteful number, since it uses less digits than its factorization.

2976286464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 328 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 2976286464 is about 54555.3522947107. The cubic root of 2976286464 is about 1438.4394204662.

The spelling of 2976286464 in words is "two billion, nine hundred seventy-six million, two hundred eighty-six thousand, four hundred sixty-four".