2774006400 has 384 divisors, whose sum is σ = 10100692800. Its totient is φ = 663552000.

The previous prime is 2774006393. The next prime is 2774006419. The reversal of 2774006400 is 46004772.

2774006400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2774006400² = 15390223014481920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11510280 + ... + 11510520.

Almost surely, 2^2774006400 is an apocalyptic number.

2774006400 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 2774006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5050346400).

2774006400 is an abundant number, since it is smaller than the sum of its proper divisors (7326686400).

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

2774006400 is a wasteful number, since it uses less digits than its factorization.

2774006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 2774006400 is about 52668.8370860797. The cubic root of 2774006400 is about 1405.0846400634.

The spelling of 2774006400 in words is "two billion, seven hundred seventy-four million, six thousand, four hundred".