2077479040 has 128 divisors (see below), whose sum is σ = 6112753920. Its totient is φ = 657469440.

The previous prime is 2077479011. The next prime is 2077479083. The reversal of 2077479040 is 409747702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2077478984 and 2077479002.

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, 40405 + ... + 76075.

It is an arithmetic number, because the mean of its divisors is an integer number (47755890).

Almost surely, 2^2077479040 is an apocalyptic number.

2077479040 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 2077479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056376960).

2077479040 is an abundant number, since it is smaller than the sum of its proper divisors (4035274880).

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

2077479040 is a wasteful number, since it uses less digits than its factorization.

2077479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35710 (or 35698 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 2077479040 is about 45579.3707723132. The cubic root of 2077479040 is about 1275.9849449389.

The spelling of 2077479040 in words is "two billion, seventy-seven million, four hundred seventy-nine thousand, forty".