2077367040 has 576 divisors, whose sum is σ = 8728043520. Its totient is φ = 457850880.

The previous prime is 2077367021. The next prime is 2077367041. The reversal of 2077367040 is 407637702.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 2077366986 and 2077367004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2077367041) 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, 7499382 + ... + 7499658.

Almost surely, 2^2077367040 is an apocalyptic number.

2077367040 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 2077367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4364021760).

2077367040 is an abundant number, since it is smaller than the sum of its proper divisors (6650676480).

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

2077367040 is a wasteful number, since it uses less digits than its factorization.

2077367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 2077367040 is about 45578.1421297534. The cubic root of 2077367040 is about 1275.9620144416.

The spelling of 2077367040 in words is "two billion, seventy-seven million, three hundred sixty-seven thousand, forty".