2953179040 has 288 divisors, whose sum is σ = 8687347200. Its totient is φ = 943810560.

The previous prime is 2953179029. The next prime is 2953179049. The reversal of 2953179040 is 409713592.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2953178984 and 2953179002.

It is not an unprimeable number, because it can be changed into a prime (2953179049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7047951 + ... + 7048369.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^2953179040 is an apocalyptic number.

2953179040 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 2953179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343673600).

2953179040 is an abundant number, since it is smaller than the sum of its proper divisors (5734168160).

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

2953179040 is a wasteful number, since it uses less digits than its factorization.

2953179040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 2953179040 is about 54343.1600111734. The cubic root of 2953179040 is about 1434.7071383318.

2953179040 divided by its sum of digits (40) gives a triangular number (73829476 = T₁₂₁₅₁).

The spelling of 2953179040 in words is "two billion, nine hundred fifty-three million, one hundred seventy-nine thousand, forty".