2125405968 has 240 divisors, whose sum is σ = 6785280000. Its totient is φ = 570011904.

The previous prime is 2125405957. The next prime is 2125405991. The reversal of 2125405968 is 8695045212.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8892793 + ... + 8893031.

It is an arithmetic number, because the mean of its divisors is an integer number (28272000).

Almost surely, 2^2125405968 is an apocalyptic number.

2125405968 is a gapful number since it is divisible by the number (28) 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 2125405968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640000).

2125405968 is an abundant number, since it is smaller than the sum of its proper divisors (4659874032).

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

2125405968 is a wasteful number, since it uses less digits than its factorization.

2125405968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2125405968 is about 46102.1254173818. The cubic root of 2125405968 is about 1285.7226613352.

The spelling of 2125405968 in words is "two billion, one hundred twenty-five million, four hundred five thousand, nine hundred sixty-eight".