2623330144020 has 192 divisors, whose sum is σ = 7944051225600. Its totient is φ = 644785090560.

The previous prime is 2623330143989. The next prime is 2623330144021. The reversal of 2623330144020 is 204410333262.

It is a super-2 number, since 2×2623330144020² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2623330144021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6323175 + ... + 6725265.

It is an arithmetic number, because the mean of its divisors is an integer number (41375266800).

Almost surely, 2^{2623330144020} is an apocalyptic number.

2623330144020 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 2623330144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3972025612800).

2623330144020 is an abundant number, since it is smaller than the sum of its proper divisors (5320721081580).

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

2623330144020 is a wasteful number, since it uses less digits than its factorization.

2623330144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402278 (or 402276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 2623330144020 its reverse (204410333262), we get a palindrome (2827740477282).

The spelling of 2623330144020 in words is "two trillion, six hundred twenty-three billion, three hundred thirty million, one hundred forty-four thousand, twenty".