2429720 has 64 divisors (see below), whose sum is σ = 6048000. Its totient is φ = 874368.

The previous prime is 2429717. The next prime is 2429723. The reversal of 2429720 is 279242.

2429720 = T₁₇₇ + T₁₇₈ + ... + T₂₇₁.

It is an interprime number because it is at equal distance from previous prime (2429717) and next prime (2429723).

It is a self number, because there is not a number n which added to its sum of digits gives 2429720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2429723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17411 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (94500).

2^2429720 is an apocalyptic number.

2429720 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 2429720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024000).

2429720 is an abundant number, since it is smaller than the sum of its proper divisors (3618280).

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

2429720 is a wasteful number, since it uses less digits than its factorization.

2429720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 2429720 is about 1558.7559141828. The cubic root of 2429720 is about 134.4369784398.

The spelling of 2429720 in words is "two million, four hundred twenty-nine thousand, seven hundred twenty".