2775275001264 has 160 divisors (see below), whose sum is σ = 7367408455680. Its totient is φ = 899992629504.

The previous prime is 2775275001263. The next prime is 2775275001307. The reversal of 2775275001264 is 4621005725772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2775275001263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73434117 + ... + 73471899.

It is an arithmetic number, because the mean of its divisors is an integer number (46046302848).

Almost surely, 2^{2775275001264} is an apocalyptic number.

2775275001264 is a gapful number since it is divisible by the number (24) 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 2775275001264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683704227840).

2775275001264 is an abundant number, since it is smaller than the sum of its proper divisors (4592133454416).

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

2775275001264 is a wasteful number, since it uses less digits than its factorization.

2775275001264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38159 (or 38153 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 2775275001264 in words is "two trillion, seven hundred seventy-five billion, two hundred seventy-five million, one thousand, two hundred sixty-four".