278965002240 has 896 divisors, whose sum is σ = 1046834380800. Its totient is φ = 70389596160.

The previous prime is 278965002233. The next prime is 278965002247. The reversal of 278965002240 is 42200569872.

278965002240 is a `hidden beast` number, since 2 + 7 + 89 + 6 + 500 + 22 + 40 = 666.

278965002240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (278965002233) and next prime (278965002247).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (278965002247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2708398029 + ... + 2708398131.

Almost surely, 2^278965002240 is an apocalyptic number.

278965002240 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 278965002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523417190400).

278965002240 is an abundant number, since it is smaller than the sum of its proper divisors (767869378560).

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

278965002240 is a wasteful number, since it uses less digits than its factorization.

278965002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 278965002240 in words is "two hundred seventy-eight billion, nine hundred sixty-five million, two thousand, two hundred forty".