2400033220002 has 144 divisors (see below), whose sum is σ = 6029878274784. Its totient is φ = 684075648000.

The previous prime is 2400033219979. The next prime is 2400033220031. The reversal of 2400033220002 is 2000223300042.

It is a super-2 number, since 2×2400033220002² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98466877 + ... + 98491247.

It is an arithmetic number, because the mean of its divisors is an integer number (41874154686).

Almost surely, 2^{2400033220002} is an apocalyptic number.

2400033220002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400033220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014939137392).

2400033220002 is an abundant number, since it is smaller than the sum of its proper divisors (3629845054782).

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

2400033220002 is a wasteful number, since it uses less digits than its factorization.

2400033220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26145 (or 26125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 2400033220002 its reverse (2000223300042), we get a palindrome (4400256520044).

The spelling of 2400033220002 in words is "two trillion, four hundred billion, thirty-three million, two hundred twenty thousand, two".