2978042001 has 48 divisors (see below), whose sum is σ = 4675141632. Its totient is φ = 1670407200.

The previous prime is 2978041999. The next prime is 2978042077. The reversal of 2978042001 is 1002408792.

It is a happy number.

It is not a de Polignac number, because 2978042001 - 2¹ = 2978041999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2978042401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 538416 + ... + 543918.

It is an arithmetic number, because the mean of its divisors is an integer number (97398784).

Almost surely, 2^2978042001 is an apocalyptic number.

It is an amenable number.

2978042001 is a deficient number, since it is larger than the sum of its proper divisors (1697099631).

2978042001 is a wasteful number, since it uses less digits than its factorization.

2978042001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5594 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2978042001 is about 54571.4394257656. The cubic root of 2978042001 is about 1438.7221819233.

The spelling of 2978042001 in words is "two billion, nine hundred seventy-eight million, forty-two thousand, one".