240749397000 has 288 divisors, whose sum is σ = 946589056920. Its totient is φ = 55028332800.

The previous prime is 240749396971. The next prime is 240749397101. The reversal of 240749397000 is 793947042.

It can be written as a sum of positive squares in 4 ways, for example, as 32358972996 + 208390424004 = 179886^2 + 456498^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 168042 + ... + 713958.

Almost surely, 2^240749397000 is an apocalyptic number.

240749397000 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 240749397000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473294528460).

240749397000 is an abundant number, since it is smaller than the sum of its proper divisors (705839659920).

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

240749397000 is a wasteful number, since it uses less digits than its factorization.

240749397000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545958 (or 545934 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 240749397000 in words is "two hundred forty billion, seven hundred forty-nine million, three hundred ninety-seven thousand".