2738022000 has 480 divisors, whose sum is σ = 10496828160. Its totient is φ = 612057600.

The previous prime is 2738021981. The next prime is 2738022019. The reversal of 2738022000 is 2208372.

It is an interprime number because it is at equal distance from previous prime (2738021981) and next prime (2738022019).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 19697931 + ... + 19698069.

It is an arithmetic number, because the mean of its divisors is an integer number (21868392).

Almost surely, 2^2738022000 is an apocalyptic number.

2738022000 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 2738022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5248414080).

2738022000 is an abundant number, since it is smaller than the sum of its proper divisors (7758806160).

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

2738022000 is a wasteful number, since it uses less digits than its factorization.

2738022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2738022000 is about 52326.1120283172. The cubic root of 2738022000 is about 1398.9825941448.

The spelling of 2738022000 in words is "two billion, seven hundred thirty-eight million, twenty-two thousand".