2077012480 has 160 divisors (see below), whose sum is σ = 5221473840. Its totient is φ = 791347200.

The previous prime is 2077012477. The next prime is 2077012489. The reversal of 2077012480 is 842107702.

It can be written as a sum of positive squares in 8 ways, for example, as 1153825024 + 923187456 = 33968^2 + 30384^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (2077012489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7498102 + ... + 7498378.

Almost surely, 2^2077012480 is an apocalyptic number.

2077012480 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 2077012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610736920).

2077012480 is an abundant number, since it is smaller than the sum of its proper divisors (3144461360).

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

2077012480 is a wasteful number, since it uses less digits than its factorization.

2077012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The square root of 2077012480 is about 45574.2523800446. The cubic root of 2077012480 is about 1275.8894176041.

The spelling of 2077012480 in words is "two billion, seventy-seven million, twelve thousand, four hundred eighty".