2740629427200 has 2178 divisors, whose sum is σ = 12174169480926. Its totient is φ = 609499054080.

The previous prime is 2740629427171. The next prime is 2740629427201. The reversal of 2740629427200 is 27249260472.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 580717154304 + 2159912272896 = 762048^2 + 1469664^2 .

It is a super-2 number, since 2×2740629427200² (a number of 26 digits) contains 22 as substring.

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 (2740629427201) by changing a digit.

It is a polite number, since it can be written in 197 ways as a sum of consecutive naturals, for example, 74071065582 + ... + 74071065618.

Almost surely, 2^{2740629427200} is an apocalyptic number.

2740629427200 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 2740629427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087084740463).

2740629427200 is an abundant number, since it is smaller than the sum of its proper divisors (9433540053726).

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

2740629427200 is an frugal number, since it uses more digits than its factorization.

2740629427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2740629427200 in words is "two trillion, seven hundred forty billion, six hundred twenty-nine million, four hundred twenty-seven thousand, two hundred".