2078274240 has 336 divisors, whose sum is σ = 8530437600. Its totient is φ = 474937344.

The previous prime is 2078274223. The next prime is 2078274257. The reversal of 2078274240 is 424728702.

2078274240 is a `hidden beast` number, since 207 + 8 + 27 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2078274223) and next prime (2078274257).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2078274195 and 2078274204.

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, 420906 + ... + 425814.

Almost surely, 2^2078274240 is an apocalyptic number.

2078274240 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 2078274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265218800).

2078274240 is an abundant number, since it is smaller than the sum of its proper divisors (6452163360).

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

2078274240 is a wasteful number, since it uses less digits than its factorization.

2078274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4949 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 2078274240 is about 45588.0931823212. The cubic root of 2078274240 is about 1276.1477277756.

The spelling of 2078274240 in words is "two billion, seventy-eight million, two hundred seventy-four thousand, two hundred forty".