2754213129400 has 24 divisors (see below), whose sum is σ = 6403545526320. Its totient is φ = 1101685251680.

The previous prime is 2754213129361. The next prime is 2754213129401. The reversal of 2754213129400 is 49213124572.

It is a super-2 number, since 2×2754213129400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754213129401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6885532624 + ... + 6885533023.

It is an arithmetic number, because the mean of its divisors is an integer number (266814396930).

Almost surely, 2^{2754213129400} is an apocalyptic number.

2754213129400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2754213129400 is an abundant number, since it is smaller than the sum of its proper divisors (3649332396920).

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

2754213129400 is a wasteful number, since it uses less digits than its factorization.

2754213129400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13771065663 (or 13771065654 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 2754213129400 in words is "two trillion, seven hundred fifty-four billion, two hundred thirteen million, one hundred twenty-nine thousand, four hundred".