2958098220 has 576 divisors, whose sum is σ = 12076646400. Its totient is φ = 567544320.

The previous prime is 2958098207. The next prime is 2958098249. The reversal of 2958098220 is 228908592.

2958098220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12376861 + ... + 12377099.

It is an arithmetic number, because the mean of its divisors is an integer number (20966400).

Almost surely, 2^2958098220 is an apocalyptic number.

2958098220 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 2958098220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6038323200).

2958098220 is an abundant number, since it is smaller than the sum of its proper divisors (9118548180).

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

2958098220 is a wasteful number, since it uses less digits than its factorization.

2958098220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 2958098220 is about 54388.4015209125. The cubic root of 2958098220 is about 1435.5033049404.

The spelling of 2958098220 in words is "two billion, nine hundred fifty-eight million, ninety-eight thousand, two hundred twenty".