2077125120 has 640 divisors, whose sum is σ = 8697300480. Its totient is φ = 465813504.

The previous prime is 2077125119. The next prime is 2077125121. The reversal of 2077125120 is 215217702.

It is an interprime number because it is at equal distance from previous prime (2077125119) and next prime (2077125121).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2077125121) 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, 39191014 + ... + 39191066.

It is an arithmetic number, because the mean of its divisors is an integer number (13589532).

Almost surely, 2^2077125120 is an apocalyptic number.

2077125120 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 2077125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4348650240).

2077125120 is an abundant number, since it is smaller than the sum of its proper divisors (6620175360).

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

2077125120 is an frugal number, since it uses more digits than its factorization.

2077125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 2077125120 is about 45575.4881487845. The cubic root of 2077125120 is about 1275.9124817547.

The spelling of 2077125120 in words is "two billion, seventy-seven million, one hundred twenty-five thousand, one hundred twenty".