2774974464 has 360 divisors, whose sum is σ = 9016954128. Its totient is φ = 849346560.

The previous prime is 2774974463. The next prime is 2774974469. The reversal of 2774974464 is 4644794772.

2774974464 is a `hidden beast` number, since 2 + 77 + 49 + 74 + 464 = 666.

It is a super-3 number, since 3×2774974464³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (9483264) is a multiple of the sum of its prime divisors (63).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2774974464.

It is not an unprimeable number, because it can be changed into a prime (2774974463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67682284 + ... + 67682324.

Almost surely, 2^2774974464 is an apocalyptic number.

2774974464 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 2774974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4508477064).

2774974464 is an abundant number, since it is smaller than the sum of its proper divisors (6241979664).

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

2774974464 is an frugal number, since it uses more digits than its factorization.

2774974464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 63 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The square root of 2774974464 is about 52678.0263867203. The cubic root of 2774974464 is about 1405.2480683886.

It can be divided in two parts, 277497 and 4464, that added together give a square (281961 = 531²).

The spelling of 2774974464 in words is "two billion, seven hundred seventy-four million, nine hundred seventy-four thousand, four hundred sixty-four".