2739090483360 has 1536 divisors, whose sum is σ = 12364929884160. Its totient is φ = 549797068800.

The previous prime is 2739090483359. The next prime is 2739090483379. The reversal of 2739090483360 is 633840909372.

2739090483360 is a `hidden beast` number, since 2 + 73 + 9 + 0 + 90 + 483 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2739090483297 and 2739090483306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1459290742 + ... + 1459292618.

It is an arithmetic number, because the mean of its divisors is an integer number (8050084560).

Almost surely, 2^{2739090483360} is an apocalyptic number.

2739090483360 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 2739090483360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182464942080).

2739090483360 is an abundant number, since it is smaller than the sum of its proper divisors (9625839400800).

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

2739090483360 is a wasteful number, since it uses less digits than its factorization.

2739090483360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 2739090483360 in words is "two trillion, seven hundred thirty-nine billion, ninety million, four hundred eighty-three thousand, three hundred sixty".