2754451002240 has 576 divisors, whose sum is σ = 11073594402000. Its totient is φ = 629063221248.

The previous prime is 2754451002211. The next prime is 2754451002241. The reversal of 2754451002240 is 422001544572.

2754451002240 is a `hidden beast` number, since 2 + 7 + 544 + 5 + 100 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 2754451002195 and 2754451002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754451002241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 411784816 + ... + 411791504.

Almost surely, 2^{2754451002240} is an apocalyptic number.

2754451002240 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 2754451002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5536797201000).

2754451002240 is an abundant number, since it is smaller than the sum of its proper divisors (8319143399760).

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

2754451002240 is a wasteful number, since it uses less digits than its factorization.

2754451002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8187 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 2754451002240 in words is "two trillion, seven hundred fifty-four billion, four hundred fifty-one million, two thousand, two hundred forty".