2982742400 has 96 divisors (see below), whose sum is σ = 8038246680. Its totient is φ = 1084620800.

The previous prime is 2982742393. The next prime is 2982742409. The reversal of 2982742400 is 42472892.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2982742409) 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 11 ways as a sum of consecutive naturals, for example, 7169 + ... + 77568.

Almost surely, 2^2982742400 is an apocalyptic number.

2982742400 is a gapful number since it is divisible by the number (20) 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 2982742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019123340).

2982742400 is an abundant number, since it is smaller than the sum of its proper divisors (5055504280).

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

2982742400 is a wasteful number, since it uses less digits than its factorization.

2982742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84772 (or 84755 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 2982742400 is about 54614.4889200659. The cubic root of 2982742400 is about 1439.4787207850.

It can be divided in two parts, 29827 and 42400, that added together give a palindrome (72227).

The spelling of 2982742400 in words is "two billion, nine hundred eighty-two million, seven hundred forty-two thousand, four hundred".