2754451237440 has 896 divisors, whose sum is σ = 10873313280000. Its totient is φ = 588796895232.

The previous prime is 2754451237429. The next prime is 2754451237441. The reversal of 2754451237440 is 447321544572.

It is a happy number.

It is a super-3 number, since 3×2754451237440³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2754451237440.

It is not an unprimeable number, because it can be changed into a prime (2754451237441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 494246494 + ... + 494252066.

Almost surely, 2^{2754451237440} is an apocalyptic number.

2754451237440 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 2754451237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5436656640000).

2754451237440 is an abundant number, since it is smaller than the sum of its proper divisors (8118862042560).

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

2754451237440 is a wasteful number, since it uses less digits than its factorization.

2754451237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5712 (or 5688 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 48.

The spelling of 2754451237440 in words is "two trillion, seven hundred fifty-four billion, four hundred fifty-one million, two hundred thirty-seven thousand, four hundred forty".