2739668400 has 720 divisors, whose sum is σ = 11779246080. Its totient is φ = 602380800.

The previous prime is 2739668377. The next prime is 2739668401. The reversal of 2739668400 is 48669372.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (2739668401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16405117 + ... + 16405283.

It is an arithmetic number, because the mean of its divisors is an integer number (16360064).

Almost surely, 2^2739668400 is an apocalyptic number.

2739668400 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 2739668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5889623040).

2739668400 is an abundant number, since it is smaller than the sum of its proper divisors (9039577680).

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

2739668400 is a wasteful number, since it uses less digits than its factorization.

2739668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2739668400 is about 52341.8417711872. The cubic root of 2739668400 is about 1399.2629453660.

The spelling of 2739668400 in words is "two billion, seven hundred thirty-nine million, six hundred sixty-eight thousand, four hundred".