2921342400 has 252 divisors, whose sum is σ = 10665710952. Its totient is φ = 757831680.

The previous prime is 2921342329. The next prime is 2921342419. The reversal of 2921342400 is 42431292.

2921342400 is a `hidden beast` number, since 2 + 9 + 213 + 42 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 530059 + ... + 535541.

Almost surely, 2^2921342400 is an apocalyptic number.

2921342400 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 2921342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5332855476).

2921342400 is an abundant number, since it is smaller than the sum of its proper divisors (7744368552).

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

2921342400 is a wasteful number, since it uses less digits than its factorization.

2921342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2921342400 is about 54049.4440304431. Note that the first 3 decimals coincide. The cubic root of 2921342400 is about 1429.5328971405.

Adding to 2921342400 its reverse (42431292), we get a palindrome (2963773692).

The spelling of 2921342400 in words is "two billion, nine hundred twenty-one million, three hundred forty-two thousand, four hundred".