2953433340 has 720 divisors, whose sum is σ = 11733728160. Its totient is φ = 615859200.

The previous prime is 2953433339. The next prime is 2953433389. The reversal of 2953433340 is 433343592.

2953433340 is a `hidden beast` number, since 295 + 34 + 3 + 334 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2953433295 and 2953433304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 48416910 + ... + 48416970.

Almost surely, 2^2953433340 is an apocalyptic number.

2953433340 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 2953433340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866864080).

2953433340 is an abundant number, since it is smaller than the sum of its proper divisors (8780294820).

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

2953433340 is a wasteful number, since it uses less digits than its factorization.

2953433340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 2953433340 is about 54345.4997216881. The cubic root of 2953433340 is about 1434.7483183109.

The spelling of 2953433340 in words is "two billion, nine hundred fifty-three million, four hundred thirty-three thousand, three hundred forty".