2796270044400 has 3600 divisors, whose sum is σ = 13397245646400. Its totient is φ = 555990220800.

The previous prime is 2796270044377. The next prime is 2796270044401. The reversal of 2796270044400 is 44400726972.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×2796270044400² (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 (2796270044401) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 68201708380 + ... + 68201708420.

It is an arithmetic number, because the mean of its divisors is an integer number (3721457124).

Almost surely, 2^{2796270044400} is an apocalyptic number.

2796270044400 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 2796270044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6698622823200).

2796270044400 is an abundant number, since it is smaller than the sum of its proper divisors (10600975602000).

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

2796270044400 is a wasteful number, since it uses less digits than its factorization.

2796270044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 94 counting only the distinct ones).

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

The spelling of 2796270044400 in words is "two trillion, seven hundred ninety-six billion, two hundred seventy million, forty-four thousand, four hundred".