2120585376 has 192 divisors, whose sum is σ = 6955296768. Its totient is φ = 550775808.

The previous prime is 2120585353. The next prime is 2120585399. The reversal of 2120585376 is 6735850212.

It is an interprime number because it is at equal distance from previous prime (2120585353) and next prime (2120585399).

It is a super-2 number, since 2×2120585376² = 8993764673810122752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 583501 + ... + 587123.

It is an arithmetic number, because the mean of its divisors is an integer number (36225504).

Almost surely, 2^2120585376 is an apocalyptic number.

2120585376 is a gapful number since it is divisible by the number (26) 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 2120585376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477648384).

2120585376 is an abundant number, since it is smaller than the sum of its proper divisors (4834711392).

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

2120585376 is a wasteful number, since it uses less digits than its factorization.

2120585376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2120585376 is about 46049.8140712859. The cubic root of 2120585376 is about 1284.7498846525.

The spelling of 2120585376 in words is "two billion, one hundred twenty million, five hundred eighty-five thousand, three hundred seventy-six".