2772436973460 has 576 divisors, whose sum is σ = 9873482551296. Its totient is φ = 568926167040.

The previous prime is 2772436973447. The next prime is 2772436973461. The reversal of 2772436973460 is 643796342772.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 2772436973394 and 2772436973403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772436973461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3522791187 + ... + 3522791973.

Almost surely, 2^{2772436973460} is an apocalyptic number.

2772436973460 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 2772436973460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936741275648).

2772436973460 is an abundant number, since it is smaller than the sum of its proper divisors (7101045577836).

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

2772436973460 is a wasteful number, since it uses less digits than its factorization.

2772436973460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 60.

The spelling of 2772436973460 in words is "two trillion, seven hundred seventy-two billion, four hundred thirty-six million, nine hundred seventy-three thousand, four hundred sixty".