2953138500 has 480 divisors, whose sum is σ = 10655124480. Its totient is φ = 707616000.

The previous prime is 2953138481. The next prime is 2953138511. The reversal of 2953138500 is 58313592.

2953138500 is a `hidden beast` number, since 2 + 95 + 31 + 38 + 500 = 666.

It is a super-3 number, since 3×2953138500³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37381461 + ... + 37381539.

It is an arithmetic number, because the mean of its divisors is an integer number (22198176).

Almost surely, 2^2953138500 is an apocalyptic number.

2953138500 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 2953138500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5327562240).

2953138500 is an abundant number, since it is smaller than the sum of its proper divisors (7701985980).

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

2953138500 is a wasteful number, since it uses less digits than its factorization.

2953138500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2953138500 is about 54342.7870098691. The cubic root of 2953138500 is about 1434.7005732830.

The spelling of 2953138500 in words is "two billion, nine hundred fifty-three million, one hundred thirty-eight thousand, five hundred".