2014954920 has 384 divisors, whose sum is σ = 7825507200. Its totient is φ = 459233280.

The previous prime is 2014954919. The next prime is 2014954939. The reversal of 2014954920 is 294594102.

2014954920 is a `hidden beast` number, since 20 + 149 + 5 + 492 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 2221107 + ... + 2222013.

It is an arithmetic number, because the mean of its divisors is an integer number (20378925).

Almost surely, 2^2014954920 is an apocalyptic number.

2014954920 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 2014954920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912753600).

2014954920 is an abundant number, since it is smaller than the sum of its proper divisors (5810552280).

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

2014954920 is a wasteful number, since it uses less digits than its factorization.

2014954920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2014954920 is about 44888.2492418673. The cubic root of 2014954920 is about 1263.0535914204.

The spelling of 2014954920 in words is "two billion, fourteen million, nine hundred fifty-four thousand, nine hundred twenty".