2002492800 has 1152 divisors, whose sum is σ = 9516355200. Its totient is φ = 406425600.

The previous prime is 2002492787. The next prime is 2002492813. The reversal of 2002492800 is 82942002.

It is an interprime number because it is at equal distance from previous prime (2002492787) and next prime (2002492813).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 46569579 + ... + 46569621.

It is an arithmetic number, because the mean of its divisors is an integer number (8260725).

Almost surely, 2^2002492800 is an apocalyptic number.

2002492800 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 2002492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4758177600).

2002492800 is an abundant number, since it is smaller than the sum of its proper divisors (7513862400).

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

2002492800 is a wasteful number, since it uses less digits than its factorization.

2002492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2002492800 is about 44749.2212222738. The cubic root of 2002492800 is about 1260.4442877660. Note that the first 3 decimals are identical.

The spelling of 2002492800 in words is "two billion, two million, four hundred ninety-two thousand, eight hundred".