2978173440 has 320 divisors, whose sum is σ = 11543368320. Its totient is φ = 721797120.

The previous prime is 2978173439. The next prime is 2978173459. The reversal of 2978173440 is 443718792.

2978173440 is a `hidden beast` number, since 297 + 8 + 17 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758362 + ... + 762278.

It is an arithmetic number, because the mean of its divisors is an integer number (36073026).

Almost surely, 2^2978173440 is an apocalyptic number.

2978173440 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 2978173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771684160).

2978173440 is an abundant number, since it is smaller than the sum of its proper divisors (8565194880).

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

2978173440 is a wasteful number, since it uses less digits than its factorization.

2978173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2978173440 is about 54572.6436962697. The cubic root of 2978173440 is about 1438.7433481149.

The spelling of 2978173440 in words is "two billion, nine hundred seventy-eight million, one hundred seventy-three thousand, four hundred forty".