2954319840 has 432 divisors, whose sum is σ = 11103281280. Its totient is φ = 714424320.

The previous prime is 2954319839. The next prime is 2954319877. The reversal of 2954319840 is 489134592.

2954319840 is a `hidden beast` number, since 2 + 95 + 431 + 98 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12900846 + ... + 12901074.

It is an arithmetic number, because the mean of its divisors is an integer number (25702040).

Almost surely, 2^2954319840 is an apocalyptic number.

2954319840 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 2954319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551640640).

2954319840 is an abundant number, since it is smaller than the sum of its proper divisors (8148961440).

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

2954319840 is a wasteful number, since it uses less digits than its factorization.

2954319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 2954319840 is about 54353.6552588692. The cubic root of 2954319840 is about 1434.8918548892.

The spelling of 2954319840 in words is "two billion, nine hundred fifty-four million, three hundred nineteen thousand, eight hundred forty".