2034973920 has 288 divisors, whose sum is σ = 7700023296. Its totient is φ = 449971200.

The previous prime is 2034973883. The next prime is 2034973943. The reversal of 2034973920 is 293794302.

It is a super-2 number, since 2×2034973920² = 8282237710160332800, which contains 22 as substring.

It is a congruent number.

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, 727725 + ... + 730515.

It is an arithmetic number, because the mean of its divisors is an integer number (26736192).

Almost surely, 2^2034973920 is an apocalyptic number.

2034973920 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 2034973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850011648).

2034973920 is an abundant number, since it is smaller than the sum of its proper divisors (5665049376).

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

2034973920 is a wasteful number, since it uses less digits than its factorization.

2034973920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 2034973920 is about 45110.6852087175. The cubic root of 2034973920 is about 1267.2227155465. Note that the first 3 decimals are identical.

The spelling of 2034973920 in words is "two billion, thirty-four million, nine hundred seventy-three thousand, nine hundred twenty".