2914842420 has 216 divisors, whose sum is σ = 10321051104. Its totient is φ = 663933312.

The previous prime is 2914842407. The next prime is 2914842433. The reversal of 2914842420 is 242484192.

It is an interprime number because it is at equal distance from previous prime (2914842407) and next prime (2914842433).

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 71 ways as a sum of consecutive naturals, for example, 4965367 + ... + 4965953.

It is an arithmetic number, because the mean of its divisors is an integer number (47782644).

Almost surely, 2^2914842420 is an apocalyptic number.

2914842420 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 2914842420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160525552).

2914842420 is an abundant number, since it is smaller than the sum of its proper divisors (7406208684).

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

2914842420 is a wasteful number, since it uses less digits than its factorization.

2914842420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2914842420 is about 53989.2806027271. The cubic root of 2914842420 is about 1428.4718740433.

The spelling of 2914842420 in words is "two billion, nine hundred fourteen million, eight hundred forty-two thousand, four hundred twenty".