2774640 has 80 divisors (see below), whose sum is σ = 9392256. Its totient is φ = 672000.

The previous prime is 2774623. The next prime is 2774669. The reversal of 2774640 is 464772.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 2774598 and 2774607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2115 + ... + 3165.

2^2774640 is an apocalyptic number.

2774640 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 2774640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4696128).

2774640 is an abundant number, since it is smaller than the sum of its proper divisors (6617616).

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

2774640 is a wasteful number, since it uses less digits than its factorization.

2774640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1072 counting only the distinct ones).

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

The square root of 2774640 is about 1665.7250673506. The cubic root of 2774640 is about 140.5191608557.

The spelling of 2774640 in words is "two million, seven hundred seventy-four thousand, six hundred forty".