2954311920 has 480 divisors, whose sum is σ = 11996375040. Its totient is φ = 666247680.

The previous prime is 2954311909. The next prime is 2954311931. The reversal of 2954311920 is 291134592.

2954311920 is a `hidden beast` number, since 29 + 543 + 1 + 1 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2954311909) and next prime (2954311931).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10901385 + ... + 10901655.

It is an arithmetic number, because the mean of its divisors is an integer number (24992448).

Almost surely, 2^2954311920 is an apocalyptic number.

2954311920 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 2954311920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998187520).

2954311920 is an abundant number, since it is smaller than the sum of its proper divisors (9042063120).

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

2954311920 is a wasteful number, since it uses less digits than its factorization.

2954311920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2954311920 is about 54353.5824026347. The cubic root of 2954311920 is about 1434.8905726591.

The spelling of 2954311920 in words is "two billion, nine hundred fifty-four million, three hundred eleven thousand, nine hundred twenty".