2756453814000 has 800 divisors, whose sum is σ = 11000801725056. Its totient is φ = 661721702400.

The previous prime is 2756453813999. The next prime is 2756453814007. The reversal of 2756453814000 is 4183546572.

2756453814000 is a `hidden beast` number, since 2 + 7 + 56 + 453 + 8 + 140 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2756453814007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 63320242 + ... + 63363758.

Almost surely, 2^{2756453814000} is an apocalyptic number.

2756453814000 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 2756453814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500400862528).

2756453814000 is an abundant number, since it is smaller than the sum of its proper divisors (8244347911056).

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

2756453814000 is a wasteful number, since it uses less digits than its factorization.

2756453814000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43592 (or 43567 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2756453814000 in words is "two trillion, seven hundred fifty-six billion, four hundred fifty-three million, eight hundred fourteen thousand".