2774949408 has 384 divisors, whose sum is σ = 10294179840. Its totient is φ = 706268160.

The previous prime is 2774949391. The next prime is 2774949431. The reversal of 2774949408 is 8049494772.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3525591 + ... + 3526377.

It is an arithmetic number, because the mean of its divisors is an integer number (26807760).

Almost surely, 2^2774949408 is an apocalyptic number.

2774949408 is a gapful number since it is divisible by the number (28) 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 2774949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147089920).

2774949408 is an abundant number, since it is smaller than the sum of its proper divisors (7519230432).

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

2774949408 is a wasteful number, since it uses less digits than its factorization.

2774949408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2774949408 is about 52677.7885640618. The cubic root of 2774949408 is about 1405.2438389201.

The spelling of 2774949408 in words is "two billion, seven hundred seventy-four million, nine hundred forty-nine thousand, four hundred eight".