2628703434000 has 1280 divisors, whose sum is σ = 10457124986880. Its totient is φ = 555358003200.

The previous prime is 2628703433999. The next prime is 2628703434001. The reversal of 2628703434000 is 4343078262.

It is an interprime number because it is at equal distance from previous prime (2628703433999) and next prime (2628703434001).

It is a self number, because there is not a number n which added to its sum of digits gives 2628703434000.

It is not an unprimeable number, because it can be changed into a prime (2628703434001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2775821527 + ... + 2775822473.

It is an arithmetic number, because the mean of its divisors is an integer number (8169628896).

Almost surely, 2^{2628703434000} is an apocalyptic number.

2628703434000 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 2628703434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228562493440).

2628703434000 is an abundant number, since it is smaller than the sum of its proper divisors (7828421552880).

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

2628703434000 is a wasteful number, since it uses less digits than its factorization.

2628703434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 2628703434000 in words is "two trillion, six hundred twenty-eight billion, seven hundred three million, four hundred thirty-four thousand".