2978667468 has 108 divisors (see below), whose sum is σ = 9219788760. Its totient is φ = 806246784.

The previous prime is 2978667467. The next prime is 2978667481. The reversal of 2978667468 is 8647668792.

2978667468 is a `hidden beast` number, since 2 + 97 + 86 + 6 + 7 + 468 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2978667467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10921 + ... + 77952.

Almost surely, 2^2978667468 is an apocalyptic number.

2978667468 is a gapful number since it is divisible by the number (28) 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 2978667468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609894380).

2978667468 is an abundant number, since it is smaller than the sum of its proper divisors (6241121292).

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

2978667468 is a wasteful number, since it uses less digits than its factorization.

2978667468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88916 (or 88904 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 2978667468 is about 54577.1698423434. The cubic root of 2978667468 is about 1438.8228980151.

The spelling of 2978667468 in words is "two billion, nine hundred seventy-eight million, six hundred sixty-seven thousand, four hundred sixty-eight".