2077770240 has 480 divisors, whose sum is σ = 8865432576. Its totient is φ = 437944320.

The previous prime is 2077770239. The next prime is 2077770259. The reversal of 2077770240 is 420777702.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 2077770195 and 2077770204.

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, 2096145 + ... + 2097135.

Almost surely, 2^2077770240 is an apocalyptic number.

2077770240 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 2077770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432716288).

2077770240 is an abundant number, since it is smaller than the sum of its proper divisors (6787662336).

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

2077770240 is a wasteful number, since it uses less digits than its factorization.

2077770240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 2077770240 is about 45582.5650879807. The cubic root of 2077770240 is about 1276.0445603749.

The spelling of 2077770240 in words is "two billion, seventy-seven million, seven hundred seventy thousand, two hundred forty".