2002662144 has 432 divisors, whose sum is σ = 7069705440. Its totient is φ = 564350976.

The previous prime is 2002662131. The next prime is 2002662157. The reversal of 2002662144 is 4412662002.

It is an interprime number because it is at equal distance from previous prime (2002662131) and next prime (2002662157).

It is a tau number, because it is divible by the number of its divisors (432).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27433692 + ... + 27433764.

Almost surely, 2^2002662144 is an apocalyptic number.

2002662144 is a gapful number since it is divisible by the number (24) 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 2002662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534852720).

2002662144 is an abundant number, since it is smaller than the sum of its proper divisors (5067043296).

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

2002662144 is an frugal number, since it uses more digits than its factorization.

2002662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2002662144 is about 44751.1133269330. The cubic root of 2002662144 is about 1260.4798172589.

The spelling of 2002662144 in words is "two billion, two million, six hundred sixty-two thousand, one hundred forty-four".