2141925120 has 360 divisors, whose sum is σ = 7796641776. Its totient is φ = 561364992.

The previous prime is 2141925091. The next prime is 2141925127. The reversal of 2141925120 is 215291412.

2141925120 is a `hidden beast` number, since 2 + 141 + 9 + 2 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141925127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7568499 + ... + 7568781.

Almost surely, 2^2141925120 is an apocalyptic number.

2141925120 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 2141925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898320888).

2141925120 is an abundant number, since it is smaller than the sum of its proper divisors (5654716656).

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

2141925120 is an equidigital number, since it uses as much as digits as its factorization.

2141925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2141925120 is about 46280.9368963075. The cubic root of 2141925120 is about 1289.0450477108.

The spelling of 2141925120 in words is "two billion, one hundred forty-one million, nine hundred twenty-five thousand, one hundred twenty".