2028374036640 has 768 divisors, whose sum is σ = 8306758656000. Its totient is φ = 452691763200.

The previous prime is 2028374036629. The next prime is 2028374036687. The reversal of 2028374036640 is 466304738202.

2028374036640 is a `hidden beast` number, since 2 + 0 + 283 + 7 + 4 + 0 + 366 + 4 + 0 = 666.

It is a super-2 number, since 2×2028374036640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 269404396 + ... + 269411924.

It is an arithmetic number, because the mean of its divisors is an integer number (10816092000).

Almost surely, 2^{2028374036640} is an apocalyptic number.

2028374036640 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 2028374036640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153379328000).

2028374036640 is an abundant number, since it is smaller than the sum of its proper divisors (6278384619360).

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

2028374036640 is a wasteful number, since it uses less digits than its factorization.

2028374036640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770 (or 7756 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 2028374036640 in words is "two trillion, twenty-eight billion, three hundred seventy-four million, thirty-six thousand, six hundred forty".