2754052479360 has 2048 divisors, whose sum is σ = 12655964160000. Its totient is φ = 561842749440.

The previous prime is 2754052479287. The next prime is 2754052479371. The reversal of 2754052479360 is 639742504572.

2754052479360 is a `hidden beast` number, since 2 + 7 + 5 + 40 + 524 + 79 + 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 = 2754052479297 and 2754052479306.

It is a congruent number.

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, 2388596544 + ... + 2388597696.

It is an arithmetic number, because the mean of its divisors is an integer number (6179670000).

Almost surely, 2^{2754052479360} is an apocalyptic number.

2754052479360 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 2754052479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327982080000).

2754052479360 is an abundant number, since it is smaller than the sum of its proper divisors (9901911680640).

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

2754052479360 is a wasteful number, since it uses less digits than its factorization.

2754052479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 2754052479360 in words is "two trillion, seven hundred fifty-four billion, fifty-two million, four hundred seventy-nine thousand, three hundred sixty".