2754404028000 has 768 divisors, whose sum is σ = 10212314112000. Its totient is φ = 729989107200.

The previous prime is 2754404027957. The next prime is 2754404028043. The reversal of 2754404028000 is 8204044572.

It is an interprime number because it is at equal distance from previous prime (2754404027957) and next prime (2754404028043).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1565891121 + ... + 1565892879.

It is an arithmetic number, because the mean of its divisors is an integer number (13297284000).

Almost surely, 2^{2754404028000} is an apocalyptic number.

2754404028000 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 2754404028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106157056000).

2754404028000 is an abundant number, since it is smaller than the sum of its proper divisors (7457910084000).

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

2754404028000 is an equidigital number, since it uses as much as digits as its factorization.

2754404028000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 2754404028000 in words is "two trillion, seven hundred fifty-four billion, four hundred four million, twenty-eight thousand".