2926400000 has 240 divisors, whose sum is σ = 7672008960. Its totient is φ = 1113600000.

The previous prime is 2926399999. The next prime is 2926400003. The reversal of 2926400000 is 46292.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2926400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49599971 + ... + 49600029.

It is an arithmetic number, because the mean of its divisors is an integer number (31966704).

Almost surely, 2^2926400000 is an apocalyptic number.

2926400000 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 2926400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836004480).

2926400000 is an abundant number, since it is smaller than the sum of its proper divisors (4745608960).

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

2926400000 is an frugal number, since it uses more digits than its factorization.

2926400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2926400000 is about 54096.2105881734. The cubic root of 2926400000 is about 1430.3573853680.

Adding to 2926400000 its reverse (46292), we get a palindrome (2926446292).

The spelling of 2926400000 in words is "two billion, nine hundred twenty-six million, four hundred thousand".